Lipschitz estimates for generalized commutators of fractional integrals with rough kernel

DOI10.1002/MANA.200310038zbMath1049.42009OpenAlexW1584242528MaRDI QIDQ4808459

Pu Zhang, Lu, Shanzhen

Publication date: 22 May 2003

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200310038

zbMATH Keywords

Lipschitz spaceboundednessfractional integralfractional maximal operatorTriebel-Lizorkin spacegeneralized commutator

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) Linear operators on function spaces (general) (47B38)

Related Items (10)

On the theory of multilinear singular operators with rough kernels on the weighted Morrey spaces ⋮ Multilinear singular and fractional integrals on weighted Hardy spaces ⋮ Toeplitz operators related to strongly singular Calderón--Zygmund operators ⋮ Lipschitz estimates for rough fractional multilinear integral operators on local generalized Morrey spaces ⋮ Lipschitz estimates for rough fractional multilinear integral operators on variable local generalized Morrey spaces ⋮ Some results and problems on commutators ⋮ Lipschitz estimates for fractional multilinear singular integral on variable exponent Lebesgue spaces ⋮ The fractional multilinear singular integral with variable kernels on hardy spaces ⋮ The \((L^p,\dot F_p^{\beta,\infty}\))-boundedness of commutators of multipliers ⋮ Commutators of integral operators with variable kernels on Hardy spaces

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