Boundedness of the Marcinkiewicz integrals with rough kernel associated to surfaces

DOI10.2748/tmj/1277298647zbMath1200.42008OpenAlexW1998375856MaRDI QIDQ991728

Kôzô Yabuta, Qing Ying Xue, Ding, Yong

Publication date: 7 September 2010

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1277298647

zbMATH Keywords

rough kernelMarcinkiewicz integralsweighted boundedness

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Integral operators (47G10)

Related Items (18)

BOUNDS FOR NONISOTROPIC MARCINKIEWICZ INTEGRALS ASSOCIATED TO SURFACES ⋮ \(L^p\) bounds for Marcinkiewicz integrals associated to homogeneous mappings ⋮ On singular integrals with rough kernels in Triebel-Lizorkin weighted spaces ⋮ Boundedness and continuity of Marcinkiewicz integrals associated to homogeneous mappings on Triebel-Lizorkin spaces ⋮ Multiple parametric Marcinkiewicz integrals with mixed homogeneity along surfaces ⋮ Inequalities for generalized parametric Marcinkiewicz integrals along polynomial compound curves ⋮ Unnamed Item ⋮ A NOTE ON GENERALIZED PARAMETRIC MARCINKIEWICZ INTEGRALS ⋮ On singular integrals associated to surfaces ⋮ On Marcinkiewicz integrals associated to compound mappings with rough kernels ⋮ WEIGHTED L p -BOUNDEDNESS OF SINGULAR INTEGRALS WITH ROUGH KERNEL ASSOCIATED TO SURFACES ⋮ Marcinkiewicz integrals with rough kernels in \(H^1(S^{n-1})\) ⋮ Boundedness and continuity of several integral operators with rough kernels in \(W \mathcal F_\beta (\mathrm S^{n-1})\) on Triebel-Lizorkin spaces ⋮ Triebel-Lizorkin space boundedness of Marcinkiewicz integrals associated to surfaces ⋮ Fractional type Marcinkiewicz integral operators associated to surfaces ⋮ A note on certain integrals along polynomial compound curves ⋮ \(L^p\) bounds for a class of Marcinkiewicz integral operators ⋮ Triebel-Lizorkin space boundedness of rough singular integrals associated to surfaces

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