Logarithmic Sobolev inequalities and the spectrum of Sturm-Liouville operators

DOI10.1016/0022-1236(80)90018-XzbMath0472.47024OpenAlexW2003187390MaRDI QIDQ1157767

Oscar S. Rothaus

Publication date: 1980

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(80)90018-x

zbMATH Keywords

logarithmic Sobolev inequalitiesbest constantsHill's equationssharp hypercontracting estimates

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) General theory of ordinary differential operators (47E05) Inequalities involving derivatives and differential and integral operators (26D10)

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Cites Work

• Regularity properties of Schrödinger and Dirichlet semigroups
• Lower bounds for eigenvalues of regular Sturm-Liouville operators and the logarithmic Sobolev inequality
• Logarithmic Sobolev inequalities and hypercontractive estimates on the circle
• Gross's Logarithmic Sobolev Inequality: A Simple Proof
• Logarithmic Sobolev Inequalities

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