\(L^{2}\)-boundedness of Marcinkiewicz integrals along surfaces with variable kernels: another sufficient condition

DOI10.1155/2007/26765zbMath1193.42088OpenAlexW2140087070WikidataQ59214246 ScholiaQ59214246MaRDI QIDQ2471922

Qing Ying Xue, Kôzô Yabuta

Publication date: 19 February 2008

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/116932

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25)

Related Items (3)

Boundedness of parametrized Littlewood-Paley operators with nondoubling measures ⋮ Hypersingular Marcinkiewicz integrals along surface with variable kernels on Sobolev space and Hardy-Sobolev space ⋮ On the boundedness of singular integrals with variable kernels

Cites Work

• Boundedness of singular integrals of variable rough Calderón-Zygmund kernels along surfaces.
• On weighted inequalities for parametric Marcinkiewicz integrals
• A singular integral whose kernel involves a Bessel function
• On the Functions of Littlewood-Paley, Lusin, and Marcinkiewicz
• On singular integrals with variable kernels
• Weighted boundedness for a class of rough Marcinkiewicz integrals
• On Marcinkiewicz integral with variable kernels
• On a Problem of Mihlin
• \(L^p\)-boundedness of Marcinkiewicz integrals with Hardy space function kernels
• Weaker type \((1,1)\) estimates for Marcinkiewicz integrals with rough kernels
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