Holomorphy of spectral multipliers of the Ornstein--Uhlenbeck operator

DOI10.1016/j.jfa.2003.08.010zbMath1069.47017OpenAlexW2078981059MaRDI QIDQ1876265

Stefano Meda, Giancarlo Mauceri, Waldemar Hebisch

Publication date: 16 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2003.08.010

zbMATH Keywords

functional calculusOrnstein--Uhlenbeck operatoruniform spectral multiplier

Mathematics Subject Classification ID

Gaussian processes (60G15) Multipliers for harmonic analysis in several variables (42B15) Functional calculus for linear operators (47A60) Groups and semigroups of linear operators (47D03)

Related Items (13)

An equivalent characterization of BMO with Gauss measure ⋮ Finite speed of propagation and off-diagonal bounds for Ornstein-Uhlenbeck operators in infinite dimensions ⋮ Joint spectral multipliers for mixed systems of operators ⋮ Unnamed Item ⋮ The Hardy-Littlewood property and maximal operators associated with the inverse Gauss measure ⋮ Endpoint estimates for first-order Riesz transforms associated to the Ornstein-Uhlenbeck operator ⋮ BMO and \(H^{1}\) for the Ornstein-Uhlenbeck operator ⋮ An \(L^1\)-estimate for certain spectral multipliers associated with the Ornstein-Uhlenbeck operator ⋮ Rellich inequalities for sub-Laplacians with drift ⋮ A maximal function characterization of the Hardy space for the Gauss measure ⋮ Riesz transforms and spectral multipliers of the Hodge-Laguerre operator ⋮ Functional calculus for some perturbations of the Ornstein--Uhlenbeck operator ⋮ Spectral multipliers for sub-Laplacians with drift on Lie groups

Cites Work

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• Harmonic analysis on semigroups
• The hypercontractive approach to exactly bounding an operator with complex Gaussian kernel
• On \(L^ p\) spectral multipliers for a solvable Lie group
• Spectral multipliers on exponential growth solvable Lie groups
• Spectral multipliers for the Ornstein-Uhlenbeck semigroup
• Sub-Laplacians of holomorphic \(L^p\)-type on rank one AN-groups and related solvable groups
• L ^p -multipliers for Noncompact Symmetric Spaces
• A General Multiplier Theorem
• Analyticity of Submarkovian Semigroups
• Functional calculus for the Ornstein-Uhlenbeck operator

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