Estimates for the Maximal Operator of the Ornstein-Uhlenbeck Semigroup

DOI10.2307/2048444zbMath0737.42019OpenAlexW4246603375MaRDI QIDQ3974462

Cristian E. Gutiérrez, Wilfredo O. Urbina R.

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.2307/2048444

zbMATH Keywords

maximal operatorweak type inequalityOrnstein-Uhlenbeck semigroupGaussian weightcentered maximal functionPoisson-Hermite integralPoisson-Hermite transform

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) One-parameter semigroups and linear evolution equations (47D06) Diffusion processes (60J60)

Related Items (6)

Endpoint estimates for first-order Riesz transforms associated to the Ornstein-Uhlenbeck operator ⋮ BMO and \(H^{1}\) for the Ornstein-Uhlenbeck operator ⋮ A maximal function characterization of the Hardy space for the Gauss measure ⋮ Comparison of spaces of Hardy type for the Ornstein-Uhlenbeck operator ⋮ Ornstein–Uhlenbeck operators and semigroups ⋮ On Riesz transforms and maximal functions in the context of Gaussian Harmonic Analysis

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