Beurling-Ahlfors commutators on weighted Morrey spaces and applications to Beltrami equations

DOI10.1007/s11118-019-09814-7zbMath1448.42025arXiv1908.08626OpenAlexW3000565441MaRDI QIDQ2006384

Dong Yong Yang, Jin Tao, Da Chun Yang

Publication date: 8 October 2020

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

Full work available at URL: https://arxiv.org/abs/1908.08626

zbMATH Keywords

compactnesscommutatorweighted Morrey spaceBeltrami equationBeurling-Ahlfors transform

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (23)

Extrapolation to product Herz spaces and some applications ⋮ Compactness of commutators of integral operators with functions in Campanato spaces on Orlicz-Morrey spaces ⋮ Nontriviality of Riesz–Morrey spaces ⋮ Boundedness of certain bilinear operators on vanishing generalized Morrey spaces ⋮ Sharp constants for \(q\)-analogue of Hausdorff operators on central \(q\)-Morrey spaces ⋮ Necessary and sufficient conditions for boundedness of commutators associated with Calderón-Zygmund operators on slice spaces ⋮ BOUNDEDNESS AND COMPACTNESS OF CAUCHY-TYPE INTEGRAL COMMUTATOR ON WEIGHTED MORREY SPACES ⋮ Boundedness for the modified fractional integral operator from mixed Morrey spaces to the bounded mean oscillation space and Lipschitz spaces ⋮ A new vanishing Lipschitz-type subspace of BMO and compactness of bilinear commutators ⋮ Cauchy–Szegö commutators on weighted Morrey spaces ⋮ Mapping properties for operators on Herz-Morrey and Herz-Morrey-Hardy spaces ⋮ Weighted \(L^p\)-boundedness and \(L^p\)-compactness criteria to commutators of operators with kernels satisfying Hörmander type estimates ⋮ Weak‐type Fefferman–Stein inequality and commutators on weak Orlicz–Morrey spaces ⋮ Extrapolation for weighted product Morrey spaces and some applications ⋮ Bourgain-Morrey spaces mixed with structure of Besov spaces ⋮ Compactness characterizations of commutators on ball Banach function spaces ⋮ Commutators of integral operators with functions in Campanato spaces on Orlicz-Morrey spaces ⋮ Commutators on weighted Morrey spaces on spaces of homogeneous type ⋮ XMO and weighted compact bilinear commutators ⋮ Boundedness criterion for some integral operators on generalized mixed Morrey spaces and generalized mixed Hardy-Morrey spaces ⋮ Vanishing John-Nirenberg spaces ⋮ Linear operators and their commutators generated by Calderón-Zygmund operators on generalized Morrey spaces associated with ball Banach function spaces ⋮ Boundedness of Bilinear Fractional Integral Operators on Vanishing Generalized Morrey Spaces

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