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Liu, Ronghui; Tao, Shuangping

Mixed radial-angular integrabilities for Hardy type operators. (English) Zbl 1527.42020

Bull. Korean Math. Soc. 60, No. 5, 1409-1425 (2023).
Summary: In this paper, we are devoted to studying the mixed radial-angular integrabilities for Hardy type operators. As an application, the upper and lower bounds are obtained for the fractional Hardy operator. In addition, we also establish the sharp weak-type estimate for the fractional Hardy operator.

Cited in 1 Document

MSC:

42B20 Singular and oscillatory integrals (Calderón-Zygmund, etc.)
42B25 Maximal functions, Littlewood-Paley theory
42B35 Function spaces arising in harmonic analysis
26D10 Inequalities involving derivatives and differential and integral operators

Keywords:

Hardy type operator; fractional Hardy operator; mixed radial-angular integrability; weak-type estimate
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Full Text: DOI

References:

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