A logarithmic Sobolev inequality on the real line

DOI10.1090/S0002-9939-97-03979-8zbMath0907.26008MaRDI QIDQ4372379

J. Michael Pearson

Publication date: 11 December 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

logarithmic Sobolev inequalitysharp Sobolev inequality

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities for sums, series and integrals (26D15)

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Cites Work

• Nonlinear Schrödinger equations and sharp interpolation estimates
• On hypercontractivity for multipliers on orthogonal polynomials
• Inequalities in Fourier analysis
• Hypercontractivity for the heat semigroup for ultraspherical polynomials and on the n-sphere
• The free Markoff field
• Sobolev inequalities, the Poisson semigroup, and analysis on the sphere Sn.
• Logarithmic Sobolev Inequalities
• Logarithmic Sobolev Inequalities for the Heat-Diffusion Semigroup
• An Elementary Proof of Gross' Logarithmic Sobolev Inequality
• Pitt's Inequality and the Uncertainty Principle
• Unnamed Item
• Unnamed Item

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