Bull. Korean Math. Soc. 2023; 60(5): 1409-1425
Online first article September 5, 2023 Printed September 30, 2023
https://doi.org/10.4134/BKMS.b220726
Copyright © The Korean Mathematical Society.
Ronghui Liu, Shuangping Tao
Northwest Normal University; Northwest Normal University
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.
Keywords: Hardy type operator, fractional Hardy operator, mixed radial-angular integrability, weak-type estimate
MSC numbers: Primary 42B20; Secondary 42B25
Supported by: 202203101202) and the Young Teachers’ Scientific Research Ability Promotion Project of Northwest Normal University (NWNU-LKQN2023-15).
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