The maximal operator associated to a nonsymmetric Ornstein-Uhlenbeck semigroup

DOI10.1007/S00041-008-9022-4zbMath1168.42008arXiv0901.1455OpenAlexW2593578257MaRDI QIDQ1027731

Giancarlo Mauceri, Luana Noselli

Publication date: 30 June 2009

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.1455

zbMATH Keywords

maximal operatorOrnstein-Uhlenbeck semigroupweak type

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Groups and semigroups of linear operators (47D03)

Related Items (6)

On the maximal operator of a general Ornstein-Uhlenbeck semigroup ⋮ Maximal operators, Littlewood-Paley functions and variation operators associated with nonsymmetric Ornstein-Uhlenbeck operators ⋮ Exponentially weighted resolvent estimates for complex Ornstein-Uhlenbeck systems ⋮ Ornstein–Uhlenbeck operators and semigroups ⋮ Riesz transforms for a non-symmetric Ornstein--Uhlenbeck semigroup ⋮ The maximal operator of a normal Ornstein-Uhlenbeck semigroup is of weak type (1,1)

Cites Work

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• Riesz transforms for a non-symmetric Ornstein--Uhlenbeck semigroup
• Spectrum of Ornstein-Uhlenbeck operators in \(L ^{p}\) spaces with respect to invariant measures
• MAXIMAL OPERATORS FOR THE HOLOMORPHIC ORNSTEIN–UHLENBECK SEMIGROUP
• The Mehler Maximal Function: a Geometric Proof of the Weak Type 1
• Poisson Integrals for Hermite and Laguerre Expansions
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
• Stochastic Equations in Infinite Dimensions

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