@@ -78,6 +78,12 @@ @article{carleson
7878 mrnumber = { 199631} ,
7979 mrreviewer = { J.-P. Kahane}
8080}
81+ @misc {becker2024carlesonoperatorsdoublingmetric ,
82+ title ={ Carleson Operators on Doubling Metric Measure Spaces} ,
83+ author ={ Lars Becker and Floris van Doorn and Asgar Jamneshan and Rajula Srivastava and Christoph Thiele} ,
84+ year ={ 2024} ,
85+ eprint ={ 2405.06423v2} ,
86+ }
8187@book {MR0499948 ,
8288 title = { Analyse harmonique non-commuta--tive sur certains espaces homog\`enes} ,
8389 author = { Coifman, Ronald R. and Weiss, Guido} ,
@@ -880,3 +886,280 @@ @article{nicolaides1972class
880886 number = { 3} ,
881887 pages = { 435--445}
882888}
889+
890+ @inproceedings {mathlib ,
891+ author = { The {mathlib Community}} ,
892+ title = { The {Lean} Mathematical Library} ,
893+ year = { 2020} ,
894+ isbn = { 9781450370974} ,
895+ publisher = { Association for Computing Machinery} ,
896+ address = { New York, NY, USA} ,
897+ doi = { 10.1145/3372885.3373824} ,
898+ booktitle = { Proceedings of the 9th ACM SIGPLAN International Conference on Certified Programs and Proofs} ,
899+ pages = { 367--381} ,
900+ numpages = { 15} ,
901+ series = { CPP 2020}
902+ }
903+
904+ @inproceedings {moura2021lean ,
905+ title = { The Lean 4 Theorem Prover and Programming Language} ,
906+ booktitle = { Automated Deduction -- {{CADE}} 28: 28th International Conference on Automated Deduction, Virtual Event, July 12--15, 2021, Proceedings} ,
907+ author = { de Moura, Leonardo and Ullrich, Sebastian} ,
908+ editor = { Platzer, Andr{\'e} and Sutcliffe, Geoff} ,
909+ year = { 2021} ,
910+ series = { Lecture Notes in Computer Science} ,
911+ volume = { 12699} ,
912+ pages = { 625--635} ,
913+ publisher = { Springer International Publishing} ,
914+ address = { Cham} ,
915+ doi = { 10.1007/978-3-030-79876-5_37} ,
916+ isbn = { 978-3-030-79876-5}
917+ }
918+ @book {Fourier ,
919+ AUTHOR = { Fourier, Jean Baptiste Joseph} ,
920+ TITLE = { Th\'eorie Analytique de la Chaleur} ,
921+ PUBLISHER = { Institut de France, Paris} ,
922+ YEAR = { 1822} ,
923+ }
924+ @book {MR3470070 ,
925+ AUTHOR = { Fourier, Jean Baptiste Joseph} ,
926+ TITLE = { \OE uvres de {F}ourier. {V}ol. 1} ,
927+ SERIES = { Cambridge Library Collection} ,
928+ EDITOR = { Darboux, Jean Gaston} ,
929+ NOTE = { Reprint of the 1888 original} ,
930+ PUBLISHER = { Cambridge University Press, Cambridge} ,
931+ YEAR = { 2013} ,
932+ PAGES = { xxviii+563} ,
933+ ISBN = { 978-1-108-05938-1} ,
934+ MRCLASS = { 01A75} ,
935+ MRNUMBER = { 3470070} ,
936+ MRREVIEWER = { Maria\ Teresa\ Borgato} ,
937+ }
938+ @article {Luzin13 ,
939+ AUTHOR = { Luzin, Nikolai} ,
940+ TITLE = { Sur la convergence des s\'eries trigonom\'etrique de {F}ourier} ,
941+ JOURNAL = { C. R. Acad. Sci. Paris} ,
942+ VOLUME = { 156} ,
943+ YEAR = { 1913} ,
944+ PAGES = { 1655--1658} ,
945+ }
946+ @book {Luzin53 ,
947+ AUTHOR = { Luzin, Nikolai} ,
948+ TITLE = { Sobranie sochinenii. Tom 1 ({C}ollected works, Vol. 1)} ,
949+ PUBLISHER = { USSR Academy of Sciences, Moscow} ,
950+ YEAR = { 1953} ,
951+ }
952+ @article {Kolmogorov ,
953+ AUTHOR = { Kolmogorov, A.} ,
954+ TITLE = { Une s\'erie de {F}ourier–{L}ebesgue divergente presque partout} ,
955+ JOURNAL = { Fund. Math.} ,
956+ VOLUME = { 4} ,
957+ YEAR = { 1923} ,
958+ PAGES = { 324--328} ,
959+ }
960+
961+ @article {MR217510 ,
962+ AUTHOR = { Billard, P.} ,
963+ TITLE = { Sur la convergence presque partout des s\'eries de
964+ {F}ourier-{W}alsh des fonctions de l'espace
965+ {$L\sp{2}\,(0,\,1)$}} ,
966+ JOURNAL = { Studia Math.} ,
967+ FJOURNAL = { Polska Akademia Nauk. Instytut Matematyczny. Studia
968+ Mathematica} ,
969+ VOLUME = { 28} ,
970+ YEAR = { 1966/67} ,
971+ PAGES = { 363--388} ,
972+ ISSN = { 0039-3223,1730-6337} ,
973+ MRCLASS = { 42.16} ,
974+ MRNUMBER = { 217510} ,
975+ MRREVIEWER = { J.-P.\ Kahane} ,
976+ DOI = { 10.4064/sm-28-3-363-388} ,
977+ URL = { https://doi.org/10.4064/sm-28-3-363-388} ,
978+ }
979+
980+ @incollection {MR238019 ,
981+ AUTHOR = { Hunt, Richard A.} ,
982+ TITLE = { On the convergence of {F}ourier series} ,
983+ BOOKTITLE = { Orthogonal {E}xpansions and their {C}ontinuous {A}nalogues
984+ ({P}roc. {C}onf., {E}dwardsville, {I}ll., 1967)} ,
985+ PAGES = { 235--255} ,
986+ PUBLISHER = { Southern Illinois Univ. Press, Carbondale, IL} ,
987+ YEAR = { 1968} ,
988+ MRCLASS = { 42.11} ,
989+ MRNUMBER = { 238019} ,
990+ MRREVIEWER = { J.-P.\ Kahane} ,
991+ }
992+
993+ @article {MR336222 ,
994+ AUTHOR = { Sj{\"o}lin, Per} ,
995+ TITLE = { Convergence almost everywhere of certain singular integrals
996+ and multiple {F}ourier series} ,
997+ JOURNAL = { Ark. Mat.} ,
998+ FJOURNAL = { Arkiv f\"or Matematik} ,
999+ VOLUME = { 9} ,
1000+ YEAR = { 1971} ,
1001+ PAGES = { 65--90} ,
1002+ ISSN = { 0004-2080,1871-2487} ,
1003+ MRCLASS = { 42A92} ,
1004+ MRNUMBER = { 336222} ,
1005+ MRREVIEWER = { W.\ C.\ Connett} ,
1006+ DOI = { 10.1007/BF02383638} ,
1007+ URL = { https://doi.org/10.1007/BF02383638} ,
1008+ }
1009+
1010+ @book {MR499948 ,
1011+ AUTHOR = { Coifman, Ronald R. and Weiss, Guido} ,
1012+ TITLE = { Analyse harmonique non-commutative sur certains espaces
1013+ homog\`enes} ,
1014+ SERIES = { Lecture Notes in Mathematics} ,
1015+ VOLUME = { Vol. 242} ,
1016+ NOTE = { \'Etude de certaines int\'egrales singuli\`eres} ,
1017+ PUBLISHER = { Springer-Verlag, Berlin-New York} ,
1018+ YEAR = { 1971} ,
1019+ PAGES = { v+160} ,
1020+ MRCLASS = { 43A85 (22E30)} ,
1021+ MRNUMBER = { 499948} ,
1022+ MRREVIEWER = { } ,
1023+ }
1024+
1025+ @article {MR546295 ,
1026+ AUTHOR = { Mac\'ias, Roberto A. and Segovia, Carlos} ,
1027+ TITLE = { Lipschitz functions on spaces of homogeneous type} ,
1028+ JOURNAL = { Adv. in Math.} ,
1029+ FJOURNAL = { Advances in Mathematics} ,
1030+ VOLUME = { 33} ,
1031+ YEAR = { 1979} ,
1032+ NUMBER = { 3} ,
1033+ PAGES = { 257--270} ,
1034+ ISSN = { 0001-8708} ,
1035+ MRCLASS = { 32A35 (42B30)} ,
1036+ MRNUMBER = { 546295} ,
1037+ MRREVIEWER = { Sun\ Yung A. Chang} ,
1038+ DOI = { 10.1016/0001-8708(79)90012-4} ,
1039+ URL = { https://doi.org/10.1016/0001-8708(79)90012-4} ,
1040+ }
1041+
1042+ @article {MR2007237 ,
1043+ AUTHOR = { Pramanik, Malabika and Terwilleger, Erin} ,
1044+ TITLE = { A weak {$L^2$} estimate for a maximal dyadic sum operator on
1045+ {${\Bbb R}^n$}} ,
1046+ JOURNAL = { Illinois J. Math.} ,
1047+ FJOURNAL = { Illinois Journal of Mathematics} ,
1048+ VOLUME = { 47} ,
1049+ YEAR = { 2003} ,
1050+ NUMBER = { 3} ,
1051+ PAGES = { 775--813} ,
1052+ ISSN = { 0019-2082,1945-6581} ,
1053+ MRCLASS = { 42B30 (47B38)} ,
1054+ MRNUMBER = { 2007237} ,
1055+ MRREVIEWER = { Christoph\ M.\ Thiele} ,
1056+ URL = { http://projecteuclid.org/euclid.ijm/1258138194} ,
1057+ }
1058+
1059+ @article {MR2091007 ,
1060+ AUTHOR = { Lacey, Michael T.} ,
1061+ TITLE = { Carleson's theorem: proof, complements, variations} ,
1062+ JOURNAL = { Publ. Mat.} ,
1063+ FJOURNAL = { Publicacions Matem\`atiques} ,
1064+ VOLUME = { 48} ,
1065+ YEAR = { 2004} ,
1066+ NUMBER = { 2} ,
1067+ PAGES = { 251--307} ,
1068+ ISSN = { 0214-1493,2014-4350} ,
1069+ MRCLASS = { 42A20 (42B10 42B25 47B38)} ,
1070+ MRNUMBER = { 2091007} ,
1071+ MRREVIEWER = { Colin\ C.\ Graham} ,
1072+ DOI = { 10.5565/PUBLMAT\_48204\_01} ,
1073+ URL = { https://doi.org/10.5565/PUBLMAT_48204_01} ,
1074+ }
1075+
1076+ @article {MR2420509 ,
1077+ AUTHOR = { Demeter, Ciprian and Lacey, Michael T. and Tao, Terence and
1078+ Thiele, Christoph} ,
1079+ TITLE = { Breaking the duality in the return times theorem} ,
1080+ JOURNAL = { Duke Math. J.} ,
1081+ FJOURNAL = { Duke Mathematical Journal} ,
1082+ VOLUME = { 143} ,
1083+ YEAR = { 2008} ,
1084+ NUMBER = { 2} ,
1085+ PAGES = { 281--355} ,
1086+ ISSN = { 0012-7094,1547-7398} ,
1087+ MRCLASS = { 42B25 (28D05 37A25 37A45)} ,
1088+ MRNUMBER = { 2420509} ,
1089+ MRREVIEWER = { Joseph\ Max\ Rosenblatt} ,
1090+ DOI = { 10.1215/00127094-2008-020} ,
1091+ URL = { https://doi.org/10.1215/00127094-2008-020} ,
1092+ }
1093+
1094+ @article {MR2881301 ,
1095+ AUTHOR = { Oberlin, Richard and Seeger, Andreas and Tao, Terence and
1096+ Thiele, Christoph and Wright, James} ,
1097+ TITLE = { A variation norm {C}arleson theorem} ,
1098+ JOURNAL = { J. Eur. Math. Soc. (JEMS)} ,
1099+ FJOURNAL = { Journal of the European Mathematical Society (JEMS)} ,
1100+ VOLUME = { 14} ,
1101+ YEAR = { 2012} ,
1102+ NUMBER = { 2} ,
1103+ PAGES = { 421--464} ,
1104+ ISSN = { 1435-9855,1435-9863} ,
1105+ MRCLASS = { 42A20 (42A16 42A45 42A61)} ,
1106+ MRNUMBER = { 2881301} ,
1107+ MRREVIEWER = { Alexander\ V.\ Tovstolis} ,
1108+ DOI = { 10.4171/JEMS/307} ,
1109+ URL = { https://doi.org/10.4171/JEMS/307} ,
1110+ }
1111+
1112+ @article {MR4014801 ,
1113+ AUTHOR = { Roos, Joris} ,
1114+ TITLE = { Bounds for anisotropic {C}arleson operators} ,
1115+ JOURNAL = { J. Fourier Anal. Appl.} ,
1116+ FJOURNAL = { The Journal of Fourier Analysis and Applications} ,
1117+ VOLUME = { 25} ,
1118+ YEAR = { 2019} ,
1119+ NUMBER = { 5} ,
1120+ PAGES = { 2324--2355} ,
1121+ ISSN = { 1069-5869,1531-5851} ,
1122+ MRCLASS = { 42B20 (42B25)} ,
1123+ MRNUMBER = { 4014801} ,
1124+ MRREVIEWER = { Shaoming\ Guo} ,
1125+ DOI = { 10.1007/s00041-018-09657-7} ,
1126+ URL = { https://doi.org/10.1007/s00041-018-09657-7} ,
1127+ }
1128+
1129+ @article {MR2538591 ,
1130+ AUTHOR = { Paluszy\'nski, Maciej and Stempak, Krzysztof} ,
1131+ TITLE = { On quasi-metric and metric spaces} ,
1132+ JOURNAL = { Proc. Amer. Math. Soc.} ,
1133+ FJOURNAL = { Proceedings of the American Mathematical Society} ,
1134+ VOLUME = { 137} ,
1135+ YEAR = { 2009} ,
1136+ NUMBER = { 12} ,
1137+ PAGES = { 4307--4312} ,
1138+ ISSN = { 0002-9939,1088-6826} ,
1139+ MRCLASS = { 54E35} ,
1140+ MRNUMBER = { 2538591} ,
1141+ DOI = { 10.1090/S0002-9939-09-10058-8} ,
1142+ URL = { https://doi.org/10.1090/S0002-9939-09-10058-8} ,
1143+ }
1144+ @misc {becker2024carlesonoperatorsdoublingmetric ,
1145+ title ={ Carleson Operators on Doubling Metric Measure Spaces} ,
1146+ author ={ Lars Becker and Floris van Doorn and Asgar Jamneshan and Rajula Srivastava and Christoph Thiele} ,
1147+ year ={ 2024} ,
1148+ eprint ={ 2405.06423} ,
1149+ }
1150+ @article {MR3334208 ,
1151+ AUTHOR = { Demeter, Ciprian} ,
1152+ TITLE = { A guide to {C}arleson's theorem} ,
1153+ JOURNAL = { Rocky Mountain J. Math.} ,
1154+ FJOURNAL = { The Rocky Mountain Journal of Mathematics} ,
1155+ VOLUME = { 45} ,
1156+ YEAR = { 2015} ,
1157+ NUMBER = { 1} ,
1158+ PAGES = { 169--212} ,
1159+ ISSN = { 0035-7596,1945-3795} ,
1160+ MRCLASS = { 42A20 (42A45)} ,
1161+ MRNUMBER = { 3334208} ,
1162+ MRREVIEWER = { Borislav\ R.\ Draganov} ,
1163+ DOI = { 10.1216/RMJ-2015-45-1-169} ,
1164+ URL = { https://doi.org/10.1216/RMJ-2015-45-1-169} ,
1165+ }
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