Two-weight estimates for Hardy-Littlewood maximal functions and Hausdorff operators on $p$-adic Herz spaces

IF 0.8 3区数学 Q2 MATHEMATICS

Izvestiya Mathematics Pub Date : 2023-01-01 DOI:10.4213/im9404e

Kieu Huu Dung, Dao Van Duong

引用次数: 0

Abstract

This paper is concerned with some sufficient conditions for the boundedness of Hardy-Littlewood maximal functions, rough Hausdorff and matrix Hausdorff operators on two-weighted Herz spaces on $p$-adic fields through its atomic decomposition.

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$p$进赫兹空间上Hardy-Littlewood极大函数和Hausdorff算子的二权估计

本文通过原子分解，讨论了$p$进域上两加权赫兹空间上Hardy-Littlewood极大函数、粗糙Hausdorff算子和矩阵Hausdorff算子的有界性的几个充分条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Izvestiya Mathematics 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Russian original is rigorously refereed in Russia and the translations are carefully scrutinised and edited by the London Mathematical Society. This publication covers all fields of mathematics, but special attention is given to: Algebra; Mathematical logic; Number theory; Mathematical analysis; Geometry; Topology; Differential equations.