Estimates for parametric Marcinkiewicz integrals in BMO and Campanato spaces

DOI10.1007/S11766-011-2685-7zbMath1240.42039OpenAlexW2004755453MaRDI QIDQ655767

Qiquan Fang, Xian Liang Shi

Publication date: 27 January 2012

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

Full work available at URL: https://doi.org/10.1007/s11766-011-2685-7

zbMATH Keywords

Campanato spaceparametric Marcinkiewicz integralsweak Dini-type regularity condition

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Estimates for translation invariant operators in \(L^p\) spaces
• On Marcinkiewicz integral with homogeneous kernels
• Weighted estimate for a class of Littlewood-Paley operators
• SHARP WEIGHTED ESTIMATES FOR MULTILINEAR COMMUTATORS
• CONVOLUTION OPERATORS ON BANACH SPACE VALUED FUNCTIONS
• On the Functions of Littlewood-Paley, Lusin, and Marcinkiewicz
• Results on Weighted Norm Inequalities for Multipliers
• Another Characterization of BMO
• A problem on rough parametric Marcinkiewicz functions
• Existence and Boundedness of Parametrized Marcinkiewicz Integral with Rough Kernel on Campanato Spaces
• ESTIMATES FOR MARCINKIEWICZ INTEGRALS IN BMO AND CAMPANATO SPACES
• \(L^p\)-boundedness of Marcinkiewicz integrals with Hardy space function kernels

This page was built for publication: Estimates for parametric Marcinkiewicz integrals in BMO and Campanato spaces