Boundedness of Littlewood-Paley g-functions of higher order associated with the Ornstein-Uhlenbeck semigroup

DOI10.1512/iumj.2001.50.1809zbMath1058.42016OpenAlexW2060918690MaRDI QIDQ4545129

Sonsoles Pérez

Publication date: 14 August 2002

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.2001.50.1809

zbMATH Keywords

Gaussian measureweak type estimatesLittlewood-Paley \(g\)-functionsOrnstein-Uhlenbeck semigroupstrong type estimates

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) One-parameter semigroups and linear evolution equations (47D06) Groups and semigroups of linear operators (47D03)

Related Items (10)

Maximal operators, Littlewood-Paley functions and variation operators associated with nonsymmetric Ornstein-Uhlenbeck operators ⋮ Fractional square functions and potential spaces ⋮ Weak-type inequality for conjugate first order Riesz-Laguerre transforms ⋮ Square functions in the Hermite setting for functions with values in UMD spaces ⋮ Linear combinations of composition operators on the Fock-Sobolev spaces ⋮ Fock-Sobolev spaces of fractional order ⋮ Weighted norm inequalities for local fractional integrals on Gaussian measure spaces ⋮ 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

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