Boundedness of a class of super singular integral operators and the associated commutators

zbMath1080.42015MaRDI QIDQ2386556

Zhifei Zhang, Qiong Lei Chen

Publication date: 30 August 2005

Published in: Science in China. Series A (Search for Journal in Brave)

zbMATH Keywords

boundednessmaximal operatorsingular integral operatorcommutator

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Commutators, derivations, elementary operators, etc. (47B47)

Related Items (11)

Jump and variational inequalities for hypersingular integrals with rough kernels ⋮ Variational inequalities for hypersingular integrals with variable kernels ⋮ \(L^p\) estimates and weighted estimates of fractional maximal rough singular integrals on homogeneous groups ⋮ Weighted estimates for strongly singular integral operators with rough kernels ⋮ Boundedness of oscillatory singular integrals with rough kernels on Triebel-Lizorkin spaces ⋮ Weighted jump and variational inequalities for hypersingular integrals with rough kernels ⋮ Commutators with fractional differentiation for second-order elliptic operators on ℝn ⋮ A note on the Marcinkiewicz integral operators on \(F_p ^{\alpha,q^*}\) ⋮ Commutators of square functions related to fractional differentiation for second-order elliptic operators ⋮ Boundedness of rough singular integral operators on the Triebel-Lizorkin spaces ⋮ Singular integral operators on product Triebel-Lizorkin spaces

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