@article{He2023, 
author = {Qianjun He and Xiang Li},
title = {Necessary and sufficient conditions for boundedness of commutators of maximal function on the    p-adic vector spaces},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {6},
pages = {14064-14085},
keywords = {p-adic vector space, maximal function, commutator, BMO space, Morrey spaces},
url = {https://www.sciopen.com/article/10.3934/math.2023719},
doi = {10.3934/math.2023719},
abstract = {In this paper, we first show that the    p-adic version of maximal function              M              L      log      ⁡      L              p       is equivalent to the maximal function              M              p        (            M              p        ) and that the class of functions for which the maximal commutators and the commutator with the    p-adic version of maximal function or the maximal sharp function are bounded on the    p-adic vector spaces are characterized and proved to be the same. Moreover, new pointwise estimates for these operators are proved.}
}