Bulletin of the Korean Mathematical Society (대한수학회보)

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MIXED RADIAL-ANGULAR INTEGRABILITIES FOR HARDY TYPE OPERATORS

  • Ronghui Liu (College of Mathematics and Statistics Northwest Normal University) ;
  • Shuangping Tao (College of Mathematics and Statistics Northwest Normal University)
  • Received : 2022.10.16
  • Accepted : 2023.06.09
  • Published : 2023.09.30
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Abstract

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

Acknowledgement

This work was supported by the Doctoral Scientific Research Foundation of Northwest Normal University (No. 202203101202) and the Young Teachers' Scientific Research Ability Promotion Project of Northwest Normal University (NWNU-LKQN2023-15).

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