dc.contributor.author
Domínguez, O.
dc.contributor.author
Li, Y. Q.
dc.contributor.author
Tikhonov, S.
dc.contributor.author
Yang, D. C.
dc.contributor.author
Yuan, W.
dc.date.accessioned
2025-01-23T08:45:36Z
dc.date.available
2025-01-23T08:45:36Z
dc.date.issued
2024-10-24
dc.identifier.uri
http://hdl.handle.net/2072/480074
dc.description.abstract
In this paper we obtain new quantitative estimates that improve the classical inequalities: Poincar & eacute;-Ponce, Gaussian Sobolev, and John-Nirenberg. Our method is based on the K-functionals and allows one to derive self-improving type inequalities. We show the optimality of the method by obtaining new Bourgain-Brezis-Mironescu and Maz'ya-Shaposhnikova limiting formulas. In particular, we derive these formulas for fractional powers of infinitesimal generators of operator semigroups on Banach spaces.
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dc.description.sponsorship
Oscar Dominguez is supported by the AEI grant RYC2022-037402-I, Yinqin Li, Dachun Yang, and Wen Yuan are supported by the National Key Research and Development Program of China (Grant No. 2020YFA0712900) and the National Natural Science Foundation of China (Grant Nos. 12431006, 12371093, 12071197 and 12122102), and Sergey Tikhonov is supported by PID2023-150984NB-I00, 2021 SGR 00087, AP 23487589, the CERCA Programme of the Generalitat de Catalunya, and Severo Ochoa and Maria de Maeztu Program for Centers and Units of Excellence in R&D (CEX2020-001084-M)
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dc.format.extent
38 p.
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dc.relation.ispartof
Calculus of Variations and Partial Differential Equations
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dc.rights
Attribution 4.0 International
*
dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
*
dc.subject.other
K-functionals
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dc.title
A unified approach to self-improving property via K-functionals
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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
10.1007/s00526-024-02833-2
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dc.rights.accessLevel
info:eu-repo/semantics/openAccess
