dc.contributor.author
Csató, Gyula
dc.contributor.author
Mas Blesa, Albert
dc.date.accessioned
2026-02-20T00:21:20Z
dc.date.available
2026-02-20T00:21:20Z
dc.date.issued
2026-02-19T09:37:03Z
dc.date.issued
2026-02-19T09:37:03Z
dc.date.issued
2025-07-21
dc.date.issued
2026-02-19T09:37:03Z
dc.identifier
https://hdl.handle.net/2445/227054
dc.identifier.uri
https://hdl.handle.net/2445/227054
dc.description.abstract
This paper deals with the behavior of the periodic Gagliardo seminorm under two
types of rearrangements, namely under a periodic, and respectively a cylindrical, symmetric
decreasing rearrangement. Our two main results are Pólya-Szegó 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, Non-linear ground state representations and sharp Hardy inequalities, J. Funct.
Anal., 2008], 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.
dc.format
application/pdf
dc.publisher
American Mathematical Society (AMS)
dc.relation
Versió postprint del document publicat a: https://doi.org/10.1090/tran/9510
dc.relation
Transactions of the American Mathematical Society, 2025, vol. 378, p. 7163-7197
dc.relation
https://doi.org/10.1090/tran/9510
dc.rights
cc-by-nc-nd (c) American Mathematical Society (AMS), 2025
dc.rights
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights
info:eu-repo/semantics/openAccess
dc.subject
Equacions en derivades parcials
dc.subject
Desigualtats (Matemàtica)
dc.subject
Partial differential equations
dc.subject
Inequalities (Mathematics)
dc.title
Strict rearrangement inequalities: nonexpansivity and periodic Gagliardo semi-norms
dc.type
info:eu-repo/semantics/article
dc.type
info:eu-repo/semantics/acceptedVersion
