dc.contributor.author
Csato, Gyula
dc.contributor.author
Mas, Albert
dc.date.accessioned
2026-01-19T11:34:45Z
dc.date.available
2026-01-19T11:34:45Z
dc.date.issued
2025-07-21
dc.identifier.uri
http://hdl.handle.net/2072/489122
dc.description.abstract
This paper deals with the behavior of the periodic Gagliardo semi-norm under two types of rearrangements, namely under a periodic, and respectively a cylindrical, symmetric decreasing rearrangement. Our two main results are Polya-Szego type inequalities for these rearrangements. We also deal with the cases of equality. Our method uses, among others, some classical nonexpansivity results for rearrangements for which we provide some slight improvements. Our proof is based on the ideas of Frank and Seiringer, [J. Funct. Anal. 255 (2008), pp. 3407-3430], where a new proof to deal with the cases of equality in the nonexpansivity theorem was given, albeit in a special case involving the rearrangement of only one function.
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dc.description.sponsorship
The two authors were supported by the Spanish grants PID2021-123903NB-I00 and RED2022-134784-T funded by MCIN/AEI/10.13039/501100011033 and by ERDF A way of making Europe, and by the Catalan grant 2021-SGR-00087. The first author was in addition supported by the Spanish grant PID2021-125021NA-I00. This work was supported by the Spanish State Research Agency, through the Severo Ochoa and Mar & imath;a de Maeztu Program for Centers and Units of Excellence in R&D (CEX2020-001084-M) .
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dc.format.extent
33 p.
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dc.publisher
American Mathematical Society
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dc.relation.ispartof
Transactions of the American Mathematical Society
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dc.rights
Attribution-NonCommercial 4.0 International
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dc.rights.uri
http://creativecommons.org/licenses/by-nc/4.0/
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dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
periodic Gagliardo seminorms
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dc.subject.other
Nonexpansivity
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dc.subject.other
inequalities
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dc.title
Strict rearrangement inequalities: Nonexpansivity and periodic Gagliardo seminorms
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dc.type
info:eu-repo/semantics/patent
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dc.identifier.doi
10.1090/tran/9510
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dc.rights.accessLevel
info:eu-repo/semantics/openAccess
