RESEARCH ARTICLE

Commutators of maximal functions on spaces of homogeneous type and their weighted, local versions

  • Zunwei FU 1,2 ,
  • Elodie POZZI 3 ,
  • Qingyan WU , 1
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  • 1. School of Mathematics and Statistics, Linyi University, Linyi 276005, China
  • 2. School of Mathematical Sciences, Qufu Normal University, Qufu 273100, China
  • 3. Department of Mathematics and Statistics, Saint Louis University, St. Louis, MO 63103, USA

Received date: 21 Dec 2020

Accepted date: 10 Feb 2021

Copyright

2022 Higher Education Press

Abstract

We obtain the characterizations of commutators of several versions of maximal functions on spaces of homogeneous type. In addition, with the aid of interpolation theory, we provide weighted version of the commutator theorems by establishing new characterizations of the weighted BMO space. Finally, a concrete example shows that the local version of commutators also has an independent interest.

Cite this article

Zunwei FU , Elodie POZZI , Qingyan WU . Commutators of maximal functions on spaces of homogeneous type and their weighted, local versions[J]. Frontiers of Mathematics in China, 2022 , 17(4) : 625 -652 . DOI: 10.1007/s11464-021-0912-y

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