Sharp Gagliardo-Nirenberg trace inequalities via mass transportation method and their affine versions

DOI10.1007/s12220-018-0047-xzbMath1436.26016arXiv1805.12535OpenAlexW2963107552MaRDI QIDQ1985345

Nguyen Van Hoang

Publication date: 7 April 2020

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.12535

zbMATH Keywords

Brenier mapoptimal functionaffine Gagliardo-Nirenberg trace inequalitiesGagliardo-Nirenberg trace inequalities

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

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