On equivalence of super log Sobolev and Nash type inequalities

DOI10.4064/CM137-2-4zbMATH Open1321.26039OpenAlexW2327225103MaRDI QIDQ2933568

Patrick Maheux, Marco Biroli

Publication date: 3 December 2014

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm137-2-4

zbMATH Keywords

heat kernelDirichlet formsemigroups of operatorsinfinite-dimensional torusultracontractivityNash type inequalityOrlicz-Sobolev inequalitysuper log Sobolev inequality

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) 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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