Weighted norm inequalities for local fractional integrals on Gaussian measure spaces

DOI10.1007/s11118-019-09810-xzbMath1448.42032OpenAlexW2990310302WikidataQ126783474 ScholiaQ126783474MaRDI QIDQ2006378

Yanyan Li

Publication date: 8 October 2020

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

Full work available at URL: https://doi.org/10.1007/s11118-019-09810-x

zbMATH Keywords

Gaussian measure spacelocal fractional integralMorrey-type spacelocal fractional maximal operator

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35)

Related Items (2)

Two-weight norm inequalities for local fractional integrals on Gaussian measure spaces ⋮ Some weighted estimates on Gaussian measure spaces

Cites Work

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• Local Muckenhoupt weights on Gaussian measure spaces
• Morrey-type spaces on Gauss measure spaces and boundedness of singular integrals
• Restricting Riesz-Morrey-Hardy potentials
• Conical square functions and non-tangential maximal functions with respect to the Gaussian measure
• Characterizations of BMO associated with Gauss measures via commutators of local fractional integrals
• Endpoint estimates for first-order Riesz transforms associated to the Ornstein-Uhlenbeck operator
• Morrey spaces in harmonic analysis
• Whitney coverings and the tent spaces \(T^{1,q}(\gamma)\) for the Gaussian measure
• Factorization of \(A_p\) weights
• A note on Riesz potentials
• On the Riesz transforms for Gaussian measures
• Weak-type estimates for the Riesz transform associated with the Gaussian measure
• Operators associated with the Hermite semigroup - a survey
• The \(Tb\)-theorem on non-homogeneous spaces.
• BLO spaces associated with the Ornstein-Uhlenbeck operator
• Weak type inequality for a family of singular integral operators related with the Gaussian measure
• Maximal and quadratic Gaussian Hardy spaces
• BMO and \(H^{1}\) for the Ornstein-Uhlenbeck operator
• Sharp estimates of the modified Hardy-Littlewood maximal operator on the nonhomogeneous space via covering lemmas
• Local maximal operators on measure metric spaces
• A Remark on the Maximal Function for Measures in R n
• On Riesz transforms and maximal functions in the context of Gaussian Harmonic Analysis
• Weighted Morrey spaces and a singular integral operator
• Weighted Norm Inequalities for Fractional Integrals
• Extensions of Hardy spaces and their use in analysis
• MAXIMAL OPERATORS FOR THE HOLOMORPHIC ORNSTEIN–UHLENBECK SEMIGROUP
• Boundedness of Littlewood-Paley g-functions of higher order associated with the Ornstein-Uhlenbeck semigroup
• Weighted Norm Inequalities for Fractional Integrals
• A maximal function characterization of the Hardy space for the Gauss measure
• Classical Fourier Analysis
• Weighted Norm Inequalities for the Hardy Maximal Function
• BMO, \(H^1\), and Calderón-Zygmund operators for non doubling measures

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