dc.contributor.author
Tokmagambetov, Niyaz
dc.date.accessioned
2025-05-05T10:18:56Z
dc.date.available
2025-05-05T10:18:56Z
dc.date.issued
2025-05-05
dc.identifier.uri
http://hdl.handle.net/2072/483515
dc.description.abstract
In this paper, we examine the results of the Pitt type for the Fourier transform, specifically focusing on scenarios where the parameter p is greater than q. Here, we show that for the Pitt inequality the ’if and only if’ condition established by Saucedo and Tikhonov (The Fourier transform is an extremizer of a class of bounded operators, arXiv.2501.17505) can be extended under restriction to the class of GM functions.
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dc.description.sponsorship
Niyaz Tokmagambetov is supported by the Beatriu de Pin´os programme and by AGAUR (Generalitat de Catalunya) grant 2021 SGR 00087.
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dc.format.extent
14 p.
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dc.rights
Attribution-NonCommercial 4.0 International
*
dc.rights.uri
http://creativecommons.org/licenses/by-nc/4.0/
*
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Pitt’s inequality
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dc.subject.other
Bounded variation
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dc.subject.other
General monotone function
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dc.title
Pitt-Type Inquality For p>q With GM-Condition
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dc.type
info:eu-repo/semantics/article
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dc.rights.accessLevel
info:eu-repo/semantics/openAccess
