The local part and the strong type for operators related to the Gaussian measure.
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Publication:1608503
DOI10.1007/BF02922016zbMath1058.42015MaRDI QIDQ1608503
Publication date: 8 August 2002
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Groups and semigroups of linear operators (47D03) Diffusion processes (60J60)
Related Items (21)
Higher-order Riesz transforms in the inverse Gaussian setting and UMD Banach spaces ⋮ Riesz-Jacobi transforms as principal value integrals ⋮ BLO spaces associated with the Ornstein-Uhlenbeck operator ⋮ Weak type inequality for a family of singular integral operators related with the Gaussian measure ⋮ Characterizations of BMO associated with Gauss measures via commutators of local fractional integrals ⋮ Maximal operators, Littlewood-Paley functions and variation operators associated with nonsymmetric Ornstein-Uhlenbeck operators ⋮ Littlewood-Paley-Stein theory and Banach spaces in the inverse Gaussian setting ⋮ The Hardy-Littlewood property and maximal operators associated with the inverse Gauss measure ⋮ Fractional square functions and potential spaces ⋮ Weak-type inequality for conjugate first order Riesz-Laguerre transforms ⋮ Morrey-type spaces on Gauss measure spaces and boundedness of singular integrals ⋮ BMO and \(H^{1}\) for the Ornstein-Uhlenbeck operator ⋮ 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 ⋮ Comparison of spaces of Hardy type for the Ornstein-Uhlenbeck operator ⋮ 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 ⋮ Riesz transforms on variable Lebesgue spaces with Gaussian measure ⋮ New Gaussian Riesz transforms on variable Lebesgue spaces
Cites Work
- Higher-order Riesz operators for the Ornstein-Uhlenbeck semigroup
- On the Riesz transforms for Gaussian measures
- Weak-type estimates for the Riesz transform associated with the Gaussian measure
- On higher Riesz transforms for Gaussian measures
- Pointwise and norm estimates for operators associated with the Ornstein-Uhlenbeck semigroup
- Operators Associated with the Ornstein-Uhlenbeck Semigroup
- The Mehler Maximal Function: a Geometric Proof of the Weak Type 1
- Poisson Integrals for Hermite and Laguerre Expansions
- Hermite Conjugate Expansions
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