Sharp bounds for the commutators with variable kernels of fractional differentiations and BMO Sobolev spaces

DOI10.1016/j.na.2014.12.018zbMath1321.42026OpenAlexW2019972391MaRDI QIDQ2258929

Ding, Yong, Yan-ping Chen

Publication date: 27 February 2015

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2014.12.018

zbMATH Keywords

singular integralcommutatorsweighted norm inequalitiesvariable kernelBMO Sobolev spacesfractional differentiations

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items

\(L^2\) boundedness for commutators of fractional differential type Marcinkiewicz integral with rough variable kernel and BMO Sobolev spaces

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