Necessary and sufficient conditions for boundedness of commutators of maximal function on the p-adic vector spaces

被引：7

作者：

He, Qianjun ^{[1
]}

Li, Xiang ^{[2
]}

机构：

[1] Beijing Informat Sci & Technol Univ, Sch Appl Sci, Beijing 100192, Peoples R China

[2] Shandong Jianzhu Univ, Sch Sci, Jinan 250000, Peoples R China

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 06期

基金：

中国国家自然科学基金;

关键词：

p-adic vector space; maximal function; commutator; BMO space; Morrey spaces; MORREY SPACES; DIRICHLET PROBLEM; OPERATORS; BMO; EQUATIONS; AVERAGES;

D O I：

10.3934/math.2023719

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we first show that the p-adic version of maximal function MpL log L is equivalent to the maximal function Mp(Mp) 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.

引用

页码：14064 / 14085

页数：22

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