Boundedness on Hardy-Sobolev spaces for hypersingular Marcinkiewicz integrals with variable kernels

DOI10.1155/2008/835938zbMath1158.42012OpenAlexW1963508561WikidataQ59217254 ScholiaQ59217254MaRDI QIDQ1008447

Xiao Yu, Song Yan Zhang, Xiang Xing Tao

Publication date: 30 March 2009

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

Full work available at URL: https://eudml.org/doc/129736

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (1)

Commutators of log-Dini-type parametric Marcinkiewicz operators on non-homogeneous metric measure spaces

Cites Work

• Rough singular integral operators on Hardy-Sobolev spaces
• On the Functions of Littlewood-Paley, Lusin, and Marcinkiewicz
• On singular integrals with variable kernels
• On Marcinkiewicz integral with variable kernels
• On a Problem of Mihlin
• Marcinkiewicz integral on Hardy spaces

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