Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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COMMUTATORS OF THE MAXIMAL FUNCTIONS ON BANACH FUNCTION SPACES

  • Mujdat Agcayazi (Department of Mathematics and Science Education Aydin Adnan Menderes University) ;
  • Pu Zhang (Department of Mathematics Mudanjiang Normal University)
  • Received : 2022.10.16
  • Accepted : 2023.03.30
  • Published : 2023.09.30
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Abstract

Let M and M# be Hardy-Littlewood maximal operator and sharp maximal operator, respectively. In this article, we present necessary and sufficient conditions for the boundedness properties for commutator operators [M, b] and [M#, b] in a general context of Banach function spaces when b belongs to BMO(?n) spaces. Some applications of the results on weighted Lebesgue spaces, variable Lebesgue spaces, Orlicz spaces and Musielak-Orlicz spaces are also given.

Keywords

Acknowledgement

Pu Zhang was supported by National Natural Science Foundation of China (Grant No. 11571160).

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