대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제60권5호
  • /
  • Pages.1409-1425
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  • 2023
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  • 1015-8634(pISSN)
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  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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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)
  • 투고 : 2022.10.16
  • 심사 : 2023.06.09
  • 발행 : 2023.09.30
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초록

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.

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과제정보

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).

참고문헌

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