Vector-valued estimates on limiting weak-type behaviors of singular integrals and maximal operators

DOI10.1016/j.jmaa.2018.11.006zbMath1440.42057OpenAlexW2899889314WikidataQ128981194 ScholiaQ128981194MaRDI QIDQ1728018

Xianming Hou, Weichao Guo, Huo Xiong Wu

Publication date: 21 February 2019

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.11.006

zbMATH Keywords

maximal operatorssingular integralsfractional integrals\(L_\alpha^q\)-Dini conditionslimiting behaviorsvector-valued estimates

Mathematics Subject Classification ID

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

Related Items (4)

The limiting weak-type behaviors of intrinsic square functions ⋮ Limiting weak type behavior for multilinear fractional integrals ⋮ The limiting weak-type behaviors of the strong maximal operators ⋮ Limiting weak-type behaviors for fractional maximal operators and fractional integrals with rough kernel

Cites Work

• \(L^1\)-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
• Limiting weak–type behavior for singular integral and maximal operators
• Classical Fourier Analysis
• Some Maximal Inequalities

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