Marcinkiewicz integrals with rough kernels on \(L^p(1\leq p\leq 2)\)

DOI10.1006/JMAA.1999.6276zbMath0923.42012OpenAlexW2025542436MaRDI QIDQ1288159

Kyung Soo Rim

Publication date: 12 October 1999

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

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6276

zbMATH Keywords

rough kernelboundednessweak type \((1,1)\)Marcinkiewicz integral

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20)

Cites Work

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• On certain maximal functions and approach regions
• Multiple singular integrals and maximal functions along hypersurfaces
• Maximal and singular integral operators via Fourier transform estimates
• A class of singular integral operators with rough kernel on product domains
• On the existence of certain singular integrals
• CONVOLUTION OPERATORS ON BANACH SPACE VALUED FUNCTIONS
• On the Functions of Littlewood-Paley, Lusin, and Marcinkiewicz
• A note on the Marcinkiewicz integral
• The Marcinkiewicz integral operator with Hardy space function kernel on product domains
• Marcinkiewicz integral operators on product domains
• On a Theorem of Marcinkiewicz and Zygmund
• On Certain Integrals

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