dc.contributor.author
Pinos, A. D.
dc.contributor.author
Nursultanov, E.
dc.contributor.author
Tikhonov, S.
dc.date.accessioned
2025-01-20T11:14:46Z
dc.date.available
2025-01-20T11:14:46Z
dc.date.issued
2024-10-01
dc.identifier.uri
http://hdl.handle.net/2072/480061
dc.description.abstract
We study norm inequalities for the Fourier transform, namely, ||(f) over cap||(lambda)(Xp,q) less than or similar to ||f||Y, (0,1) where Xis either a Morrey or Campanato space and Y is an appropriate function space. In the case of the Morrey space we sharpen the estimate ||(f) over cap ||M-p,q(lambda) less than or similar to ||f||L-s',L-q, s >= 2, 1/s= 1/p-lambda/n. We also show that (0.1) does not hold when both X and Y are Morrey spaces.
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dc.description.sponsorship
The first author was partially supported by the Catalan AGAUR, through the Beatriu de Pinos program (2021BP 00072) , and by CIDMA, through the Portuguese FCT (UIDP/04106/2020 and UIDB/04106/2020) . The third author was partially supported by the CERCA Programme of the Generalitat de Catalunya (2021 SGR 00087) and by the Spanish State Research Agency, through the Severo Ochoa and Maria de Maeztu Program for Centers and Units of Excellence in R&D (PID2020-114948GB-I00, CEX2020-001084-M) . The work was partially supported by the Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan (grants AP14870758, AP14870361) .
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dc.format.extent
27 p.
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dc.relation.ispartof
Journal of Functional Analysis
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dc.rights
Attribution-NonCommercial-NoDerivatives 4.0 International
*
dc.rights.uri
http://creativecommons.org/licenses/by-nc-nd/4.0/
*
dc.subject.other
Fourier inequalities
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dc.subject.other
Morrey spaces
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dc.subject.other
Campanato spaces
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dc.title
Fourier inequalities in Morrey and Campanato spaces
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dc.type
info:eu-repo/semantics/article
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dc.description.version
info:eu-repo/semantics/acceptedVersion
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dc.identifier.doi
10.1016/j.jfa.2024.110522
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dc.rights.accessLevel
info:eu-repo/semantics/openAccess
