Characterization of boundedness of some commutators of fractional maximal functions in terms of $p$-adic vector spaces

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Resumo

This paper gives some characterizations of the boundedness of the maximal or non-linear commutator of the $p$-adic fractional maximal operator $ \mathcal{M}_{\alpha}^p$ with the symbols belong to the $p$-adic BMO spaces on (variable) Lebesgue spaces and Morrey spaces over $p$-adic field, by which some new characterizations of BMO functions are obtained in the $p$-adic field context. Meanwhile, some equivalent relations between the $p$-adic BMO norm and the $p$-adic (variable) Lebesgue or Morrey norm are given.

Sobre autores

JiangLong Wu

Department of Mathematics, Chizhou University, Chizhou, P. R. China

Email: wujl@czu.edu.cn
PhD, Professor

Yunpeng Chang

Department of Mathematics, Mudanjiang Normal University, Mudanjiang, P. R. China

Email: yunpeng_chang2023@163.com

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