A mass transportation proof of the sharp one-dimensional Gagliardo-Nirenberg inequalities

DOI10.2969/jmsj/82258225zbMath1470.26025OpenAlexW3098919218MaRDI QIDQ2039823

Nguyen Van Hoang

Publication date: 5 July 2021

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/82258225

zbMATH Keywords

best constantsGagliardo-Nirenberg inequalityoptimal functionsgeneral \(L^p\) logarithmic Sobolev inequalitymass transportation method

Mathematics Subject Classification ID

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

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