Endpoint estimates for first-order Riesz transforms associated to the Ornstein-Uhlenbeck operator

DOI10.4171/RMI/667zbMath1238.42005arXiv1002.1240MaRDI QIDQ664896

Stefano Meda, Giancarlo Mauceri, Peter Sjögren

Publication date: 3 March 2012

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.1240

zbMATH Keywords

BMOHardy spacesRiesz transformsGaussian measureOrnstein--Uhlenbeck operator

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) (H^p)-spaces (42B30)

Related Items (13)

Finite speed of propagation and off-diagonal bounds for Ornstein-Uhlenbeck operators in infinite dimensions ⋮ On the integral kernels of derivatives of the Ornstein–Uhlenbeck semigroup ⋮ A counterexample to \(L^{\infty}\)-gradient type estimates for Ornstein-Uhlenbeck operators ⋮ Morrey-type spaces on Gauss measure spaces and boundedness of singular integrals ⋮ A maximal function characterization of the Hardy space for the Gauss measure ⋮ Pointwise multipliers for Campanato spaces on Gauss measure spaces ⋮ Endpoint results for the Riesz transform of the Ornstein-Uhlenbeck operator ⋮ Weighted norm inequalities for local fractional integrals on Gaussian measure spaces ⋮ Conical square functions and non-tangential maximal functions with respect to the Gaussian measure ⋮ Ornstein–Uhlenbeck operators and semigroups ⋮ Littlewood-Paley theory on metric spaces with non doubling measures and its applications ⋮ Singular integrals and Hardy type spaces for the inverse Gauss measure ⋮ Local Muckenhoupt weights on Gaussian measure spaces

Cites Work

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• Holomorphy of spectral multipliers of the Ornstein--Uhlenbeck operator
• On Riesz transforms and maximal functions in the context of Gaussian Harmonic Analysis
• Estimates for the Maximal Operator of the Ornstein-Uhlenbeck Semigroup
• Extensions of Hardy spaces and their use in analysis
• MAXIMAL OPERATORS FOR THE HOLOMORPHIC ORNSTEIN–UHLENBECK SEMIGROUP
• H¹and BMO for certain locally doubling metric measure spaces of finite measure
• Functional calculus for the Ornstein-Uhlenbeck operator

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