Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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WEAK BOUNDEDNESS FOR THE COMMUTATOR OF n-DIMENSIONAL ROUGH HARDY OPERATOR ON HOMOGENEOUS HERZ SPACES AND CENTRAL MORREY SPACES

  • Lei Ji (School of Mathematical Sciences University of Chinese Academy of Sciences) ;
  • Mingquan Wei (School of Mathematics and Statistics Xinyang Normal University) ;
  • Dunyan Yan (School of Mathematical Sciences University of Chinese Academy of Sciences)
  • Received : 2023.10.16
  • Accepted : 2024.02.06
  • Published : 2024.07.31
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Abstract

In this paper, we study the boundedness of the commutator HbΩ formed by the rough Hardy operator HΩ and a locally integrable function b from homogeneous Herz spaces to homogeneous weak Herz spaces. In addition, the weak boundedness of HbΩ on central Morrey spaces is also established.

Keywords

Acknowledgement

This work is supported by the Natural Science Foundation of China (Nos. 12271501, 12301123 and 12071052) and the Nanhu Scholar Program for Young Scholars of Xinyang Normal University.

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