General sharp weighted Caffarelli–Kohn–Nirenberg inequalities

DOI10.1017/prm.2018.45zbMath1423.26029OpenAlexW2908319243MaRDI QIDQ4968773

Lam Hoang Nguyen

Publication date: 9 July 2019

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/prm.2018.45

zbMATH Keywords

dualityextremal functionsmass transportCaffarelli-Kohn-Nirenberg inequalitiesbest constantsGagliardo-Nirenberg inequalities

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)

Related Items

Sharp weighted isoperimetric and Caffarelli-Kohn-Nirenberg inequalities ⋮ Finsler Trudinger-Moser inequalities on \(\mathbb{R}^2\) ⋮ Hardy inequalities and Caffarelli-Kohn-Nirenberg inequalities with radial derivative ⋮ Sharp Caffarelli-Kohn-Nirenberg-type inequalities on Carnot groups ⋮ \(p\)-Bessel pairs, Hardy's identities and inequalities and Hardy-Sobolev inequalities with monomial weights

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