Sharp inequalities and regularity of heat semigroup on infinite dimensional spaces

DOI10.1016/0022-1236(87)90016-4zbMath0611.60078OpenAlexW2064533477MaRDI QIDQ1087248

Yuh-Jia Lee

Publication date: 1987

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

Full work available at URL: http://purl.umn.edu/4373

zbMATH Keywords

abstract Wiener spaceMalliavin's calculusHilbert-Schmidt normOrnstein-Uhlenbeck semigroupregularity properties of the heat semigroup

Mathematics Subject Classification ID

Brownian motion (60J65) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Related Items (5)

A generalization of the Riesz representation theorem to infinite dimensions ⋮ Analytic version of test functionals, Fourier transform, and a characterization of measures in white noise calculus ⋮ On Stein's method for infinite-dimensional Gaussian approximation in abstract Wiener spaces ⋮ Generalized functions on infinite dimensional spaces and its applications to white noise calculus ⋮ Differentiable measures and the Malliavin calculus

Cites Work

• Integral transforms of analytic functions on abstract Wiener spaces
• Gaussian measures in Banach spaces
• On Gross differentiation on Banach spaces
• Smooth functions on Banach spaces
• Potential theory on Hilbert space
• Applications of the Fourier-Wiener Transform to Differential Equations on Infinite Dimensional Spaces. I
• Quasi-Differentiable Functions on Banach Spaces
• An Extension of Weyl's Lemma to Infinite Dimensions
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