Necessary and sufficient conditions for boundedness of commutators of maximal function on the $ p $-adic vector spaces-Reference-Cited by-同舟云学术

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

Published:2023 Issue:6 Volume:8 Page:14064-14085
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

He Qianjun¹,Li Xiang²

Affiliation:

1. School of Applied Science, Beijing Information Science and Technology University, Beijing 100192, China

2. School of Science, Shandong Jianzhu University, Jinan 250000, China

Abstract

<abstract><p>In this paper, we first show that the $ p $-adic version of maximal function $ \mathcal{M}_{L\log L}^{p} $ is equivalent to the maximal function $ \mathcal{M}^{p}(\mathcal{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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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