On parametric Marcinkiewicz integrals related to block spaces

DOI10.1007/s11766-003-0049-7zbMath1041.42015OpenAlexW2323184258MaRDI QIDQ1430952

Pu Zhang, Huo Xiong Wu

Publication date: 27 May 2004

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-003-0049-7

zbMATH Keywords

Littlewood-Paley \(g\)-functionblock spaceparametric Marcinkiewicz integralLusin area integral\(L^2\)-boundedness

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35)

Cites Work

• Estimates for translation invariant operators in \(L^p\) spaces
• A singular integral operator related to block spaces
• Last passage times of minimum contrast estimators
• Block Spaces on the Unit Sphere in R n
• CONVOLUTION OPERATORS ON BANACH SPACE VALUED FUNCTIONS
• On the Functions of Littlewood-Paley, Lusin, and Marcinkiewicz
• A note on the Marcinkiewicz integral
• Weaker type \((1,1)\) estimates for Marcinkiewicz integrals with rough kernels
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