Direct and Reverse Gagliardo–Nirenberg Inequalities from Logarithmic Sobolev Inequalities

DOI10.4064/ba53-3-10zbMath1156.26005OpenAlexW2021170332MaRDI QIDQ3414686

Gabriele Grillo, Matteo Bonforte

Publication date: 10 January 2007

Published in: Bulletin of the Polish Academy of Sciences Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ba53-3-10

zbMATH Keywords

logarithmic Sobolev inequalityGagliardo-Nirenberg inequalityreverse inequality4-norms inequality

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 (4)

Nonlocal nonlinear diffusion equations. Smoothing effects, Green functions, and functional inequalities ⋮ DIRECT AND REVERSE LOG-SOBOLEV INEQUALITIES IN μ-DEFORMED SEGAL–BARGMANN ANALYSIS ⋮ Hypercontractivity, Nash inequalities and subordination for classes of nonlinear semigroups ⋮ A Gagliardo-Nirenberg-type inequality and its applications to decay estimates for solutions of a degenerate parabolic equation

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