dc.contributor.author
Dyachenko, M.
dc.contributor.author
Nursultanov, E.
dc.contributor.author
Tikhonov, S.
dc.contributor.author
Weisz, F.
dc.date.accessioned
2023-03-29T07:31:11Z
dc.date.accessioned
2024-09-19T14:25:45Z
dc.date.available
2023-03-29T07:31:11Z
dc.date.available
2024-09-19T14:25:45Z
dc.date.issued
2022-11-22
dc.identifier.uri
http://hdl.handle.net/2072/532582
dc.description.abstract
We obtain Fourier inequalities in the weighted Lp spaces for any 1<p<∞ involving the Hardy–Cesàro and Hardy–Bellman operators. We extend these results to product Hardy spaces for p⩽1. Moreover, boundedness of the Hardy-Cesàro and Hardy-Bellman operators in various spaces (Lebesgue, Hardy, BMO) is discussed. One of our main tools is an appropriate version of the Hardy–Littlewood–Paley inequality ‖fˆ‖Lp′,q≲‖f‖Lp,q. © 2022 The Author(s)
eng
dc.description.sponsorship
Engineering and Physical Sciences Research Council, EPSRC: EP/R014604/1; Generalitat de Catalunya: CEX2020-001084-M; Ministry of Education and Science of the Republic of Kazakhstan: AP 14870758; Nemzeti Kutatási Fejlesztési és Innovációs Hivatal, NKFIH: KH130426
dc.format.extent
36 p.
cat
dc.publisher
Elsevier
cat
dc.relation.ispartof
Journal of Functional Analysis
cat
dc.rights
L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons: http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Fourier transform; Hardy-Cesàro and Hardy-Bellman operators; Hardy–Littlewood theorem; Product Hardy spaces
cat
dc.title
Hardy–Littlewood-type theorems for Fourier transforms in Rd
cat
dc.type
info:eu-repo/semantics/article
cat
dc.type
info:eu-repo/semantics/publishedVersion
cat
dc.identifier.doi
10.1016/j.jfa.2022.109776
cat
dc.rights.accessLevel
info:eu-repo/semantics/openAccess
