dc.contributor.author
Oganesyan, K.
dc.date.accessioned
2023-11-14T11:11:38Z
dc.date.accessioned
2024-09-19T14:34:50Z
dc.date.available
2023-11-14T11:11:38Z
dc.date.available
2024-09-19T14:34:50Z
dc.date.issued
2023-09-19
dc.identifier.uri
http://hdl.handle.net/2072/537053
dc.description.abstract
We prove the Hardy–Littlewood theorem in two dimensions for functions whose Fourier coefficients obey general monotonicity conditions and, importantly, are not necessarily positive. The sharpness of the result is given by a counterexample, which shows that if one slightly extends the considered class of coefficients, the Hardy–Littlewood relation fails. © 2023, The Author(s).
eng
dc.description.sponsorship
The work was supported by the Moebius Contest Foundation for Young Scientists and the Foundation for the Advancement of Theoretical Physics and Mathematics “BASIS” (Grant no. 19-8-2-28-1)
dc.format.extent
30 p.
cat
dc.publisher
Birkhauser
cat
dc.relation.ispartof
Journal of Fourier Analysis and Applications
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: https://creativecommons.org/licenses/by/4.0/
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Fourier series; General monotone coefficients; Hardy–Littlewood theorem
cat
dc.title
Two-Dimensional Hardy–Littlewood Theorem for Functions with General Monotone Fourier Coefficients
cat
dc.type
info:eu-repo/semantics/article
cat
dc.type
info:eu-repo/semantics/publishedVersion
cat
dc.identifier.doi
10.1007/s00041-023-10039-x
cat
dc.rights.accessLevel
info:eu-repo/semantics/openAccess
