Weak type inequality for a family of singular integral operators related with the Gaussian measure

DOI10.1007/s11118-009-9124-xzbMath1205.42015OpenAlexW1969292280MaRDI QIDQ2390983

Liliana Forzani, Eleonor O. Harboure, Roberto Scotto

Publication date: 10 August 2009

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-009-9124-x

zbMATH Keywords

singular integralsfunctional calculusOrnstein-Uhlenbeck operatorGaussian measure

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Groups and semigroups of linear operators (47D03)

Related Items

Riesz-Jacobi transforms as principal value integrals, Maximal operators, Littlewood-Paley functions and variation operators associated with nonsymmetric Ornstein-Uhlenbeck operators, The Hardy-Littlewood property and maximal operators associated with the inverse Gauss measure, Weak-type inequality for conjugate first order Riesz-Laguerre transforms, Vector valued multivariate spectral multipliers, Littlewood-Paley functions, and Sobolev spaces in the Hermite setting, Weighted norm inequalities for local fractional integrals on Gaussian measure spaces, Weak-type inequalities for higher order Riesz-Laguerre transforms, Riesz transforms for a non-symmetric Ornstein--Uhlenbeck semigroup, Riesz transforms of a general Ornstein-Uhlenbeck semigroup, On Riesz transforms and maximal functions in the context of Gaussian Harmonic Analysis, Local Muckenhoupt weights on Gaussian measure spaces

Cites Work

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• MAXIMAL OPERATORS FOR THE HOLOMORPHIC ORNSTEIN–UHLENBECK SEMIGROUP
• Operators Associated with the Ornstein-Uhlenbeck Semigroup
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