关于离散最大算子 BV 连续性的说明

IF 1.1 3区数学 Q1 MATHEMATICS

Results in Mathematics Pub Date : 2024-04-13 DOI:10.1007/s00025-024-02164-w

Feng Liu, Xiao Zhang

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引用次数: 0

摘要

我们证明了一类与一般函数 \(\Phi \) 相关的离散最大算子的连续性，它们涵盖了经典的一维离散非中心哈代-利特尔伍德最大算子。主要结果不仅改进和概括了一些已知结果，而且回答了刘和吴在2019年最初提出的一个问题。

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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A Note on BV Continuity of Discrete Maximal Operators

We prove \(\textrm{BV}\) continuity of a class of discrete maximal operators associated to a general function \(\Phi \), which cover the classical one-dimensional discrete uncentered Hardy–Littlewood maximal operator. The main result not only improves and generalizes some known ones, but also answers a question originally posed by Liu and Wu in 2019.

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来源期刊

Results in Mathematics 数学-数学

CiteScore

1.90

自引率

4.50%

发文量

198

审稿时长

6-12 weeks

期刊介绍： Results in Mathematics (RM) publishes mainly research papers in all fields of pure and applied mathematics. In addition, it publishes summaries of any mathematical field and surveys of any mathematical subject provided they are designed to advance some recent mathematical development.