A reverse log-Sobolev inequality in the Segal-Bargmann space

DOI10.1063/1.532825zbMath0953.47020OpenAlexW2025693891MaRDI QIDQ4701812

Stephen Bruce Sontz

Publication date: 21 November 1999

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.532825

zbMATH Keywords

Segal-Bargmann spaceGaussian probability measureSegal-Bargmann transformreverse hypercontractivityenergy-entropy inequalitiesreverse log-Sobolev inequalities

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Applications of operator theory in the physical sciences (47N50) Linear operator inequalities (47A63) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Applications of functional analysis in quantum physics (46N50) Banach spaces of continuous, differentiable or analytic functions (46E15) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items

Reverse inequalities in μ-deformed Segal-Bargmann analysis ⋮ DIRECT AND REVERSE LOG-SOBOLEV INEQUALITIES IN μ-DEFORMED SEGAL–BARGMANN ANALYSIS ⋮ On the reproducing kernel of the Segal-Bargmann space ⋮ Reverse hypercontractivity over manifolds

Cites Work

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