Revised logarithmic Sobolev inequalities of fractional order

DOI10.1016/J.BULSCI.2024.103530MaRDI QIDQ6652378

Michael Ruzhansky, Marianna Chatzakou

Publication date: 12 December 2024

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

zbMATH Keywords

logarithmic Sobolev inequalityhigher order derivativesfractional Laplacian

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fractional derivatives and integrals (26A33) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

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• Analysis.
• The best sobolev constant
• Extremals for the Sobolev Inequality on the Heisenberg Group and the CR Yamabe Problem
• Logarithmic Sobolev Inequalities
• Anisotropic Shannon inequality
• Logarithmic Sobolev-type inequalities on Lie groups

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