Weighted weak-type inequalities for the maximal function of nonnegative integral transforms over approach regions

DOI10.1090/S0002-9939-97-03784-2zbMath0868.42008OpenAlexW1516770261MaRDI QIDQ4339178

Shiying Zhao

Publication date: 5 June 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03784-2

zbMATH Keywords

weightsmaximal functionsweak type inequalitiesapproach regionsoperators of potential type

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Harmonic analysis on homogeneous spaces (43A85)

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Cites Work

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• On certain maximal functions and approach regions
• Strong \(L^ p\) estimates for maximal functions with respect to singular measures; with applications to exceptional sets
• A decomposition into atoms of distributions on spaces of homogeneous type
• On Maximal Functions and Poisson-Szego Integrals
• A Generalized Fatou Theorem
• Weighted Inequalities for Fractional Integrals on Euclidean and Homogeneous Spaces
• Extensions of Hardy spaces and their use in analysis

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