Estimates for operators on weighted Morrey spaces and their applications to nondivergence elliptic equations

DOI10.1186/1029-242X-2013-390zbMath1284.42042WikidataQ59301017 ScholiaQ59301017MaRDI QIDQ2441901

Shaoguang Shi, Fa You Zhao, Zun Wei Fu

Publication date: 28 March 2014

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

commutatorweighted Morrey spacesublinear operatornondivergence elliptic equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20)

Related Items (15)

Sublinear operators with rough kernel generated by Calderón-Zygmund operators and their commutators on generalized Morrey spaces ⋮ On the boundedness of integral operators in weighted grand Morrey spaces ⋮ The boundedness of operators in Muckenhoupt weighted Morrey spaces via extrapolation techniques and duality ⋮ Boundedness of fractional oscillatory integral operators and their commutators in vanishing generalized weighted Morrey spaces ⋮ Commutators for multilinear singular integrals on weighted Morrey spaces ⋮ Strongly singular Calderón-Zygmund operators and commutators on weighted Morrey spaces ⋮ Weighted local Morrey spaces ⋮ Boundedness of sublinear operators in weighted grand Morrey spaces ⋮ Unnamed Item ⋮ Extension and boundedness of operators on Morrey spaces from extrapolation techniques and embeddings ⋮ Compact embeddings of weighted smoothness spaces of Morrey type: An example ⋮ Lipschitz estimates for commutators of singular integral operators associated with the sections ⋮ A characterization of Campanato space via commutator of fractional integral ⋮ Embeddings of weighted Morrey spaces ⋮ Weighted Lipschitz estimates for commutators on weighted Morrey spaces

Cites Work

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• Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
• Harmonic analysis on nilpotent groups and singular integrals. I: Oscillatory integrals
• Factorization theorems for Hardy spaces in several variables
• A note on Riesz potentials
• Singular integrals and commutators on homogeneous groups
• Multilinear Calderón-Zygmund theory
• Endpoint estimates for commutators of singular integral operators
• Boundedness of sublinear operators on product Hardy spaces and its application
• The boundedness of certain sublinear operator in the weighted variable Lebesgue spaces
• On functions of bounded mean oscillation
• Weighted Morrey spaces and a singular integral operator

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