Boundedness of the commutator of Marcinkiewicz integral with rough variable kernel

DOI10.1007/s10114-009-7681-yzbMath1176.42011OpenAlexW2110962289MaRDI QIDQ1034321

Yan-ping Chen

Publication date: 11 November 2009

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-009-7681-y

zbMATH Keywords

Sobolev spaceBMOMarcinkiewicz integralcommutatorvariable kernelspherical harmonic function

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25)

Related Items

The boundedness for commutators of maximal hypersingular integrals with rough kernels ⋮ Jump and variational inequalities for averaging operators with variable kernels

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Littlewood-Paley operators with variable kernels
• An integral estimate of Bessel function and its application
• \(\lambda \)-central \(BMO\) estimates for commutators of singular integral operators with rough kernels
• \(L^2\) boundedness for commutator of rough singular integral with variable kernel
• Interior \(W^{2,p}\) estimates for non-divergence elliptic equations with discontinuous coefficients
• Factorization theorems for Hardy spaces in several variables
• On the commutator of the Marcinkiewicz integral.
• On commutators of Marcinkiewicz integrals with rough kernel
• Strongly singular Calderón-Zygmund operator and commutator on Morrey type spaces
• Singular integrals and commutators in generalized Morrey spaces
• A note on the Marcinkiewicz integral
• On singular integrals with variable kernels
• Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
• Certain Operators with Rough Singular Kernels
• L^p(Rⁿ) boundedness for the commutator of a homogeneous singular integral operator
• On Marcinkiewicz integral with variable kernels
• On a Problem of Mihlin