A weighted norm inequality for rough singular integrals
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Publication:1306668
DOI10.2748/tmj/1178224808zbMath0935.42008OpenAlexW2077343318MaRDI QIDQ1306668
Fan, Dashan, Da Chun Yang, Pan, Yibiao
Publication date: 2 May 2000
Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2748/tmj/1178224808
singular integralatomic decompositionweighted Lebesgue spacesMorrey spaceMuckenhoupt weightHerz spacemaximal singular integral
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35)
Related Items (16)
A new class of weights adapted to rough singular integrals and Marcinkiewicz integrals ⋮ On singular integral operators with rough kernel along surface ⋮ A class of oscillatory singular integrals with rough kernels and fewnomials phases ⋮ WEIGHTED L p -BOUNDEDNESS OF SINGULAR INTEGRALS WITH ROUGH KERNEL ASSOCIATED TO SURFACES ⋮ A unifying approach for certain class of maximal functions ⋮ On the boundedness of maximal operators and singular operators with kernels in \(L(^{\log L)^{\alpha }}(S^{n - 1})\) ⋮ A class of maximal functions with oscillating kernels ⋮ Triebel-Lizorkin space boundedness of Marcinkiewicz integrals associated to surfaces ⋮ On weighted inequalities for parametric Marcinkiewicz integrals ⋮ Marcinkiewicz functions along flat surfaces with Hardy space kernels ⋮ Boundedness of the Marcinkiewicz integrals with rough kernel associated to surfaces ⋮ On the boundedness of singular integrals with variable kernels ⋮ Estimates of some operators on one-sided weighted Morrey spaces ⋮ Triebel-Lizorkin space boundedness of rough singular integrals associated to surfaces ⋮ Singular integral operators along surfaces of revolution ⋮ Boundedness of singular integrals of variable rough Calderón-Zygmund kernels along surfaces.
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