Weighted norm inequality for the singular integral with variable kernel and fractional differentiation

DOI10.1016/j.jmaa.2014.10.074zbMath1302.26003OpenAlexW1964414446MaRDI QIDQ472368

Kai Zhu, Yan-ping Chen

Publication date: 19 November 2014

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.10.074

zbMATH Keywords

weightssingular integralvariable kernelBMO Sobolev spacesfractional differentiations

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33)

Related Items

Weighted boundedness of multilinear Calderón commutators, Singular integrals with variable kernel and fractional differentiation in homogeneous Morrey-Herz-type Hardy spaces with variable exponents, Weak estimates of singular integrals with variable kernel and fractional differentiation on Morrey-Herz spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Morrey potentials and harmonic maps
• A boundedness criterion for generalized Calderón-Zygmund operators
• Maximal operators related to the Radon transform and the Calderon-Zygmund method of rotations
• Interior \(W^{2,p}\) estimates for non-divergence elliptic equations with discontinuous coefficients
• Global Morrey regularity of strong solutions to the Dirichlet problem for elliptic equations with discontinuous coefficients
• Singular integral operators, Morrey spaces and fine regularity of solutions to PDEs
• Interior estimates in Morrey spaces for strong solutions to nondivergence form equations with discontinuous coefficients
• A characterization of the Morrey-Campanato spaces
• Regularity of Morrey commutators
• Compactness of Commutators for Singular Integrals on Morrey Spaces
• Boundedness and applications of singular integrals and square functions: a survey
• On Singular Integrals
• Singular Integral Operators and Differential Equations
• On singular integrals with variable kernels
• Analysis on Morrey Spaces and Applications to Navier-Stokes and Other Evolution Equations
• Weighted Norm Inequalities for Homogeneous Singular Integrals
• Boundary value problems in Morrey spaces for elliptic systems on Lipschitz domains
• COMMUTATORS OF SINGULAR INTEGRAL OPERATORS
• On a Problem of Mihlin