Inégalités de Sobolev et minorations du semi-groupe de la chaleur

DOI10.5802/afst.702zbMath0731.46015OpenAlexW2048265043MaRDI QIDQ3356887

Dominique Bakry, Dominique Michel

Publication date: 1990

Published in: Annales de la faculté des sciences de Toulouse Mathématiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_1990_5_11_2_23_0

zbMATH Keywords

upper boundslower boundsSobolev constantsdiameter of the spaceestimates on the associated heat semigroupGross' and Davies' methodsweak Sobolev inequalities for a Dirichlet form

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) One-parameter semigroups and linear evolution equations (47D06) Heat equation (35K05)

Related Items

Hypercontractivity for spin systems of infinite extension, Sobolev inequalities and Myers's diameter theorem for an abstract Markov generator

Cites Work

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• Ultracontractivity and the heat kernel for Schrödinger operators and Dirichlet Laplacians
• Hardy-Littlewood theory for semigroups
• Upper bounds for symmetric Markov transition functions
• Logarithmic Sobolev Inequalities