On the Limiting Weak-type Behaviors for Maximal Operators Associated with Power Weighted Measure

DOI10.4153/CMB-2018-017-2zbMath1418.42019MaRDI QIDQ5377456

Xianming Hou, Huo Xiong Wu

Publication date: 24 May 2019

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

zbMATH Keywords

Hardy-Littlewood maximal operatorfractional integralfractional maximal operatorpower weightlimiting weak-type behavior

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25)

Related Items

Limiting weak-type behaviors for certain Littlewood-Paley functions, The limiting weak-type behaviors of the strong maximal operators, Limiting weak-type behaviors for Riesz transforms and maximal operators in Bessel setting

Cites Work

• Unnamed Item
• Lectures on analysis on metric spaces
• \(L^1\)-Dini conditions and limiting behavior of weak type estimates for singular integrals
• Weak type \((1,1)\) behavior for the maximal operator with \(L^{1}\)-Dini kernel
• Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
• Limiting weak–type behavior for singular integral and maximal operators
• A note on the limiting weak-type behavior for maximal operators