Fractional multilinear integrals with rough kernels on generalized weighted Morrey spaces

DOI10.1515/MATH-2016-0090zbMath1355.42005OpenAlexW2561945132MaRDI QIDQ501610

Ali Akbulut, Amil Hasanov

Publication date: 9 January 2017

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2016-0090

zbMATH Keywords

rough kernelBMO spacegeneralized weighted Morrey spacefractional multilinear integral operators

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) Integral operators (47G10)

Cites Work

• Gradient estimates for parabolic equations in generalized weighted Morrey spaces
• Estimates of singular integrals and multilinear commutators in weighted Morrey spaces
• Boundedness of the maximal, potential and singular operators in the generalized Morrey spaces
• A BMO estimate for multilinear singular integrals
• Interior \(W^{2,p}\) estimates for non-divergence elliptic equations with discontinuous coefficients
• Singular integral operators, Morrey spaces and fine regularity of solutions to PDEs
• Higher order commutators for a class of rough operators
• Method of approximate particular solutions for constant- and variable-order fractional diffusion models
• Global regularity in generalized Morrey spaces of solutions to nondivergence elliptic equations with VMO coefficients
• Boundary particle method for Laplace transformed time fractional diffusion equations
• Generalized Morrey estimates for the gradient of divergence form parabolic operators with discontinuous coefficients
• Interior estimates in Morrey spaces for strong solutions to nondivergence form equations with discontinuous coefficients
• Commutators of sublinear operators generated by Calderón-Zygmund operator on generalized weighted Morrey spaces
• Weighted norm inequalities for multilinear fractional operators on Morrey spaces
• SHARP WEIGHTED ESTIMATES FOR MULTILINEAR COMMUTATORS
• Gradient estimates in generalized Morrey spaces for parabolic operators
• Weighted Morrey spaces and a singular integral operator
• W 2,p -Solvability of the Dirichlet Problem for Nondivergence Elliptic Equations with VMO Coefficients
• On certain nonstandard Calderón-Zygmund operators
• Weighted Norm Inequalities for Fractional Integrals
• FINITE DIFFERENCE SCHEMES FOR VARIABLE-ORDER TIME FRACTIONAL DIFFUSION EQUATION
• BOUNDEDNESS OF SUBLINEAR OPERATORS GENERATED BY CALDERÓN-ZYGMUND OPERATORS ON GENERALIZED WEIGHTED MORREY SPACES
• Generalized Morrey Regularity for Parabolic Equations with Discontinuous Data
• Global weighted estimates for nonlinear elliptic obstacle problems over Reifenberg domains
• Weighted Norm Inequalities for Singular and Fractional Integrals
• Weighted Norm Inequalities for the Hardy Maximal Function
• On the Solutions of Quasi-Linear Elliptic Partial Differential Equations
• Weighted boundedness for a class of rough multilinear operators
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