dc.contributor.author
Saucedo, Miquel
dc.contributor.author
Tikhonov, Sergey
dc.date.accessioned
2026-01-21T13:59:04Z
dc.date.available
2026-01-21T13:59:04Z
dc.date.issued
2025-12-01
dc.identifier.uri
http://hdl.handle.net/2072/489170
dc.description.abstract
We prove that the Hausdorff-Young inequality parallel to(f) over cap parallel to(q(center dot)) <= C parallel to F parallel to(p(center dot)) with q(x) = p '(1/x) and p(center dot) even and non-decreasing holds in variable Lebesgue spaces if and only if p is a constant. However, under the additional condition on monotonicity of f, we obtain a complete characterization of Pitt-type weighted Fourier inequalities in both the classical and variable Lebesgue setting.
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dc.description.sponsorship
The research was partially supported by AP23488596, the CERCA Programme of the Generalitat de Catalunya, and Severo Ochoa and María de Maeztu Program for Centers and Units of Excellence in R&D (CEX2020-001084-M). M. Saucedo is supported by the Spanish Ministry of Universities through the FPU contract FPU21/04230 and by PID2023-150984NB-I00 by the Agencia Estatal de Investigacion. S. Tikhonov is supported by PID2023-150984NB-I00 by the Agencia Estatal de Investigacion and by the Departament de Recerca i Universitats, grant 2021 SGR 00087.
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dc.relation.ispartof
Nonlinear Analysis
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dc.rights
Attribution 4.0 International
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dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
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dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Fourier transform
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dc.subject.other
Variable Lebesgue space
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dc.subject.other
Weighted Fourier inequalities
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dc.subject.other
Hardy-Littlewood type theorem
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dc.title
Note on Fourier inequalities
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dc.type
info:eu-repo/semantics/article
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dc.description.version
info:eu-repo/semantics/publishedVersion
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dc.identifier.doi
10.1016/j.na.2025.113896
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dc.rights.accessLevel
info:eu-repo/semantics/openAccess
