Hardy–Littlewood-type theorems for Fourier transforms in Rd
Dyachenko M. Nursultanov E. Tikhonov S. Weisz F.
15 February 2023Academic Press Inc.
Journal of Functional Analysis
2023#284Issue 4
We obtain Fourier inequalities in the weighted Lp spaces for any 1L≲‖f‖L.
Fourier transform , Hardy-Cesàro and Hardy-Bellman operators , Hardy–Littlewood theorem , Product Hardy spaces
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Moscow State University, Vorobe‘vy Gory, 117234, Russian Federation
Moscow Center for Fundamental and Applied Mathematics, Russian Federation
Lomonosov Moscow State University (Kazakh Branch), Gumilyov Eurasian National University, Munatpasova 7, Astana, 010010, Kazakhstan
Centre de Recerca Matemàtica, Campus de Bellaterra, Edifici C, Bellaterra, Barcelona, 08193, Spain
ICREA, Pg. Lluís Companys 23, Barcelona, 08010, Spain
Universitat Autònoma de Barcelona, Spain
Department of Numerical Analysis, Eötvös L. University, Pázmány P. sétány 1/C, Budapest, H-1117, Hungary
Moscow State University
Moscow Center for Fundamental and Applied Mathematics
Lomonosov Moscow State University (Kazakh Branch)
Centre de Recerca Matemàtica
ICREA
Universitat Autònoma de Barcelona
Department of Numerical Analysis
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