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New blueprint introduction (#480)
The majority has been written by Christoph Thiele. Also add affiliations & email addresses to blueprint Also change the documentstyle.
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blueprint/src/bibliography.bib

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@@ -78,6 +78,12 @@ @article{carleson
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mrnumber = {199631},
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mrreviewer = {J.-P. Kahane}
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}
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@misc{becker2024carlesonoperatorsdoublingmetric,
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title={Carleson Operators on Doubling Metric Measure Spaces},
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author={Lars Becker and Floris van Doorn and Asgar Jamneshan and Rajula Srivastava and Christoph Thiele},
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year={2024},
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eprint={2405.06423v2},
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}
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@book{MR0499948,
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title = {Analyse harmonique non-commuta--tive sur certains espaces homog\`enes},
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author = {Coifman, Ronald R. and Weiss, Guido},
@@ -880,3 +886,280 @@ @article{nicolaides1972class
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number = {3},
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pages = {435--445}
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}
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@inproceedings{mathlib,
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author = {The {mathlib Community}},
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title = {The {Lean} Mathematical Library},
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year = {2020},
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isbn = {9781450370974},
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publisher = {Association for Computing Machinery},
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address = {New York, NY, USA},
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doi = {10.1145/3372885.3373824},
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booktitle = {Proceedings of the 9th ACM SIGPLAN International Conference on Certified Programs and Proofs},
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pages = {367--381},
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numpages = {15},
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series = {CPP 2020}
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}
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@inproceedings{moura2021lean,
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title = {The Lean 4 Theorem Prover and Programming Language},
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booktitle = {Automated Deduction -- {{CADE}} 28: 28th International Conference on Automated Deduction, Virtual Event, July 12--15, 2021, Proceedings},
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author = {de Moura, Leonardo and Ullrich, Sebastian},
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editor = {Platzer, Andr{\'e} and Sutcliffe, Geoff},
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year = {2021},
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series = {Lecture Notes in Computer Science},
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volume = {12699},
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pages = {625--635},
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publisher = {Springer International Publishing},
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address = {Cham},
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doi = {10.1007/978-3-030-79876-5_37},
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isbn = {978-3-030-79876-5}
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}
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@book {Fourier,
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AUTHOR = {Fourier, Jean Baptiste Joseph},
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TITLE = {Th\'eorie Analytique de la Chaleur},
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PUBLISHER = {Institut de France, Paris},
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YEAR = {1822},
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}
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@book {MR3470070,
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AUTHOR = {Fourier, Jean Baptiste Joseph},
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TITLE = {\OE uvres de {F}ourier. {V}ol. 1},
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SERIES = {Cambridge Library Collection},
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EDITOR = {Darboux, Jean Gaston},
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NOTE = {Reprint of the 1888 original},
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PUBLISHER = {Cambridge University Press, Cambridge},
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YEAR = {2013},
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PAGES = {xxviii+563},
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ISBN = {978-1-108-05938-1},
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MRCLASS = {01A75},
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MRNUMBER = {3470070},
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MRREVIEWER = {Maria\ Teresa\ Borgato},
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}
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@article {Luzin13,
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AUTHOR = {Luzin, Nikolai},
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TITLE = {Sur la convergence des s\'eries trigonom\'etrique de {F}ourier},
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JOURNAL = {C. R. Acad. Sci. Paris},
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VOLUME = {156},
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YEAR = {1913},
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PAGES = {1655--1658},
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}
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@book {Luzin53,
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AUTHOR = {Luzin, Nikolai},
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TITLE = {Sobranie sochinenii. Tom 1 ({C}ollected works, Vol. 1)},
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PUBLISHER = {USSR Academy of Sciences, Moscow},
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YEAR = {1953},
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}
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@article {Kolmogorov,
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AUTHOR = {Kolmogorov, A.},
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TITLE = {Une s\'erie de {F}ourier–{L}ebesgue divergente presque partout},
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JOURNAL = {Fund. Math.},
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VOLUME = {4},
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YEAR = {1923},
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PAGES = {324--328},
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}
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@article {MR217510,
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AUTHOR = {Billard, P.},
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TITLE = {Sur la convergence presque partout des s\'eries de
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{F}ourier-{W}alsh des fonctions de l'espace
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{$L\sp{2}\,(0,\,1)$}},
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JOURNAL = {Studia Math.},
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FJOURNAL = {Polska Akademia Nauk. Instytut Matematyczny. Studia
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Mathematica},
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VOLUME = {28},
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YEAR = {1966/67},
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PAGES = {363--388},
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ISSN = {0039-3223,1730-6337},
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MRCLASS = {42.16},
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MRNUMBER = {217510},
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MRREVIEWER = {J.-P.\ Kahane},
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DOI = {10.4064/sm-28-3-363-388},
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URL = {https://doi.org/10.4064/sm-28-3-363-388},
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}
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@incollection {MR238019,
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AUTHOR = {Hunt, Richard A.},
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TITLE = {On the convergence of {F}ourier series},
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BOOKTITLE = {Orthogonal {E}xpansions and their {C}ontinuous {A}nalogues
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({P}roc. {C}onf., {E}dwardsville, {I}ll., 1967)},
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PAGES = {235--255},
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PUBLISHER = {Southern Illinois Univ. Press, Carbondale, IL},
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YEAR = {1968},
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MRCLASS = {42.11},
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MRNUMBER = {238019},
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MRREVIEWER = {J.-P.\ Kahane},
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}
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@article {MR336222,
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AUTHOR = {Sj{\"o}lin, Per},
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TITLE = {Convergence almost everywhere of certain singular integrals
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and multiple {F}ourier series},
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JOURNAL = {Ark. Mat.},
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FJOURNAL = {Arkiv f\"or Matematik},
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VOLUME = {9},
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YEAR = {1971},
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PAGES = {65--90},
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ISSN = {0004-2080,1871-2487},
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MRCLASS = {42A92},
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MRNUMBER = {336222},
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MRREVIEWER = {W.\ C.\ Connett},
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DOI = {10.1007/BF02383638},
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URL = {https://doi.org/10.1007/BF02383638},
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}
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@book {MR499948,
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AUTHOR = {Coifman, Ronald R. and Weiss, Guido},
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TITLE = {Analyse harmonique non-commutative sur certains espaces
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homog\`enes},
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SERIES = {Lecture Notes in Mathematics},
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VOLUME = {Vol. 242},
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NOTE = {\'Etude de certaines int\'egrales singuli\`eres},
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PUBLISHER = {Springer-Verlag, Berlin-New York},
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YEAR = {1971},
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PAGES = {v+160},
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MRCLASS = {43A85 (22E30)},
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MRNUMBER = {499948},
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MRREVIEWER = {},
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}
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@article {MR546295,
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AUTHOR = {Mac\'ias, Roberto A. and Segovia, Carlos},
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TITLE = {Lipschitz functions on spaces of homogeneous type},
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JOURNAL = {Adv. in Math.},
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FJOURNAL = {Advances in Mathematics},
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VOLUME = {33},
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YEAR = {1979},
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NUMBER = {3},
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PAGES = {257--270},
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ISSN = {0001-8708},
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MRCLASS = {32A35 (42B30)},
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MRNUMBER = {546295},
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MRREVIEWER = {Sun\ Yung A. Chang},
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DOI = {10.1016/0001-8708(79)90012-4},
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URL = {https://doi.org/10.1016/0001-8708(79)90012-4},
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}
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@article {MR2007237,
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AUTHOR = {Pramanik, Malabika and Terwilleger, Erin},
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TITLE = {A weak {$L^2$} estimate for a maximal dyadic sum operator on
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{${\Bbb R}^n$}},
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JOURNAL = {Illinois J. Math.},
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FJOURNAL = {Illinois Journal of Mathematics},
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VOLUME = {47},
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YEAR = {2003},
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NUMBER = {3},
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PAGES = {775--813},
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ISSN = {0019-2082,1945-6581},
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MRCLASS = {42B30 (47B38)},
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MRNUMBER = {2007237},
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MRREVIEWER = {Christoph\ M.\ Thiele},
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URL = {http://projecteuclid.org/euclid.ijm/1258138194},
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}
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@article {MR2091007,
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AUTHOR = {Lacey, Michael T.},
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TITLE = {Carleson's theorem: proof, complements, variations},
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JOURNAL = {Publ. Mat.},
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FJOURNAL = {Publicacions Matem\`atiques},
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VOLUME = {48},
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YEAR = {2004},
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NUMBER = {2},
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PAGES = {251--307},
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ISSN = {0214-1493,2014-4350},
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MRCLASS = {42A20 (42B10 42B25 47B38)},
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MRNUMBER = {2091007},
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MRREVIEWER = {Colin\ C.\ Graham},
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DOI = {10.5565/PUBLMAT\_48204\_01},
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URL = {https://doi.org/10.5565/PUBLMAT_48204_01},
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}
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@article {MR2420509,
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AUTHOR = {Demeter, Ciprian and Lacey, Michael T. and Tao, Terence and
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Thiele, Christoph},
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TITLE = {Breaking the duality in the return times theorem},
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JOURNAL = {Duke Math. J.},
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FJOURNAL = {Duke Mathematical Journal},
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VOLUME = {143},
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YEAR = {2008},
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NUMBER = {2},
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PAGES = {281--355},
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ISSN = {0012-7094,1547-7398},
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MRCLASS = {42B25 (28D05 37A25 37A45)},
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MRNUMBER = {2420509},
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MRREVIEWER = {Joseph\ Max\ Rosenblatt},
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DOI = {10.1215/00127094-2008-020},
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URL = {https://doi.org/10.1215/00127094-2008-020},
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}
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@article {MR2881301,
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AUTHOR = {Oberlin, Richard and Seeger, Andreas and Tao, Terence and
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Thiele, Christoph and Wright, James},
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TITLE = {A variation norm {C}arleson theorem},
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JOURNAL = {J. Eur. Math. Soc. (JEMS)},
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FJOURNAL = {Journal of the European Mathematical Society (JEMS)},
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VOLUME = {14},
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YEAR = {2012},
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NUMBER = {2},
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PAGES = {421--464},
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ISSN = {1435-9855,1435-9863},
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MRCLASS = {42A20 (42A16 42A45 42A61)},
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MRNUMBER = {2881301},
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MRREVIEWER = {Alexander\ V.\ Tovstolis},
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DOI = {10.4171/JEMS/307},
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URL = {https://doi.org/10.4171/JEMS/307},
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}
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@article {MR4014801,
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AUTHOR = {Roos, Joris},
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TITLE = {Bounds for anisotropic {C}arleson operators},
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JOURNAL = {J. Fourier Anal. Appl.},
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FJOURNAL = {The Journal of Fourier Analysis and Applications},
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VOLUME = {25},
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YEAR = {2019},
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NUMBER = {5},
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PAGES = {2324--2355},
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ISSN = {1069-5869,1531-5851},
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MRCLASS = {42B20 (42B25)},
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MRNUMBER = {4014801},
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MRREVIEWER = {Shaoming\ Guo},
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DOI = {10.1007/s00041-018-09657-7},
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URL = {https://doi.org/10.1007/s00041-018-09657-7},
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}
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@article {MR2538591,
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AUTHOR = {Paluszy\'nski, Maciej and Stempak, Krzysztof},
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TITLE = {On quasi-metric and metric spaces},
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JOURNAL = {Proc. Amer. Math. Soc.},
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FJOURNAL = {Proceedings of the American Mathematical Society},
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VOLUME = {137},
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YEAR = {2009},
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NUMBER = {12},
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PAGES = {4307--4312},
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ISSN = {0002-9939,1088-6826},
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MRCLASS = {54E35},
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MRNUMBER = {2538591},
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DOI = {10.1090/S0002-9939-09-10058-8},
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URL = {https://doi.org/10.1090/S0002-9939-09-10058-8},
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}
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@misc{becker2024carlesonoperatorsdoublingmetric,
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title={Carleson Operators on Doubling Metric Measure Spaces},
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author={Lars Becker and Floris van Doorn and Asgar Jamneshan and Rajula Srivastava and Christoph Thiele},
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year={2024},
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eprint={2405.06423},
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}
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@article {MR3334208,
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AUTHOR = {Demeter, Ciprian},
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TITLE = {A guide to {C}arleson's theorem},
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JOURNAL = {Rocky Mountain J. Math.},
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FJOURNAL = {The Rocky Mountain Journal of Mathematics},
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VOLUME = {45},
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YEAR = {2015},
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NUMBER = {1},
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PAGES = {169--212},
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ISSN = {0035-7596,1945-3795},
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MRCLASS = {42A20 (42A45)},
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MRNUMBER = {3334208},
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MRREVIEWER = {Borislav\ R.\ Draganov},
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DOI = {10.1216/RMJ-2015-45-1-169},
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URL = {https://doi.org/10.1216/RMJ-2015-45-1-169},
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}

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