Acta mathematica scientia,Series A ›› 2024, Vol. 44 ›› Issue (3): 539-546.

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Two-Weight Inequalities for $ {n}$-dimentional Hardy Operator and Commutators

Wang Yaoyao(),Lv Meichuan(),Li Wenming*()   

  1. School of Mathematical Sciences, Hebei Normal University, Shijiazhuang 050024
  • Received:2023-04-01 Revised:2023-10-30 Online:2024-06-26 Published:2024-05-17
  • Supported by:
    Natural Science Foundation of Hebei Province(A2021205013)

Abstract:

Let $ P $ be the Hardy operator on $ \mathbb{R}^n $ and $ Q $ be the adjoint operator. In this paper, we get the two-weight inequalities for $ P $, $ Q $ and the commutators of $ P $ and $ Q $ with $ CMO $ functions.

Key words: Hardy operator, Commutator, $ CMO $, Two-weight inequality

CLC Number: 

  • O174.2
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