\(L^2\)-boundedness of a singular integral operator

DOI10.5565/PUBLMAT_41297_01zbMath0904.42012MaRDI QIDQ1385179

Fan, Dashan, Pan, Yibiao

Publication date: 29 December 1998

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/41323

zbMATH Keywords

rough kernelmaximal functionsingular integrals

Mathematics Subject Classification ID

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

Related Items (17)

Rough singular integrals associated to polynomial curves ⋮ Some maximal operators related to families of singular integral operators ⋮ Commutator of hypersingular integral with rough kernels on Sobolev spaces ⋮ \(L^2\) boundedness for commutators of fractional differential type Marcinkiewicz integral with rough variable kernel and BMO Sobolev spaces ⋮ Weighted estimates for strongly singular integral operators with rough kernels ⋮ Rough Singular Integral Operators along Submanifolds ⋮ Commutators of Marcinkiewicz integral with rough kernels on Sobolev spaces ⋮ A rough hypersingular integral operator with an oscillating factor on function space ⋮ A singular integral operator with rough kernel ⋮ Operators with rough singular kernels ⋮ On rough Marcinkiewicz integrals along surfaces ⋮ Sharp bounds for the commutators with variable kernels of fractional differentiations and BMO Sobolev spaces ⋮ Rough hypersingular integral operators with an oscillating factor ⋮ A rough hypersingular integral operator with an oscillating factor ⋮ A note on certain integrals along polynomial compound curves ⋮ Singular integral operators on function spaces ⋮ Maximal singular integral operators along surfaces

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