Characterization of Lipschitz Spaces via Commutators of Maximal Function on the p-Adic Vector Space

被引：3

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：

JOURNAL OF MATHEMATICS | 2022年 / 2022卷

基金：

中国国家自然科学基金;

关键词：

INTEGRAL-OPERATORS; WEIGHTED MORREY; LEBESGUE; BMO; AVERAGES;

D O I：

10.1155/2022/7430272

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we give characterization of a p-adic version of Lipschitz spaces in terms of the boundedness of commutators of maximal function in the context of the p-adic version of Lebesgue spaces and Morrey spaces, where the symbols of the commutators belong to the Lipschitz spaces. A useful tool is a Lipschitz norm involving the John-Nirenberg-type inequality for homogeneous Lipschitz functions, which is new in the p-adic field context.

引用

页数：15

共 36 条

[21] Rough Hardy-Littlewood Operators on p-Adic Function Spaces with Variable Exponents
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P-ADIC NUMBERS ULTRAMETRIC ANALYSIS AND APPLICATIONS, 2024, 16 (03) : 219 - 232
[22] SHARP BOUND OF m-LINEAR n-DIMENSIONAL p-ADIC HAUSDORFF OPERATORS ON p-ADIC MORREY SPACES
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[24] Commutators of the fractional maximal function on variable exponent Lebesgue spaces
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[25] Boundedness Characterization of Maximal Commutators on Orlicz Spaces in the Dunkl Setting
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[27] Commutators of the fractional maximal function in generalized Morrey spaces on Carnot groups
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[28] MULTILINEAR COMMUTATORS RELATED TO MAXIMAL FUNCTION ON MORREY-BANACH SPACE AND ITS APPLICATION
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JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2020, 11 (04) : 1699 - 1717
[30] Factorization for Hardy Spaces and Characterization for BMO Spaces via Commutators in the Bessel Setting
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INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2017, 66 (04) : 1081 - 1106

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