加权多参数局部Hardy空间上算子的有界性

IF 1.2 4区数学 Q1 MATHEMATICS Acta Mathematica Scientia Pub Date : 2023-11-29 DOI:10.1007/s10473-024-0121-3

Wei Ding, Yan Tang, Yueping Zhu

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引用次数: 0

摘要

虽然原子分解是研究一些次线性算子在Hardy空间上的有界性的一个非常有用的工具，但是到目前为止，算子在多参数加权Hardy空间上的有界性只能通过几乎正交估计来确定。本文主要利用原子分解的方法建立了加权多参数局部Hardy空间的有界性。

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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The boundedness of operators on weighted multi-parameter local Hardy spaces

Though atomic decomposition is a very useful tool for studying the boundedness on Hardy spaces for some sublinear operators, untill now, the boundedness of operators on weighted Hardy spaces in a multi-parameter setting has been established only by almost orthogonality estimates. In this paper, we mainly establish the boundedness on weighted multi-parameter local Hardy spaces via atomic decomposition.

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来源期刊

Acta Mathematica Scientia 数学-数学

CiteScore

2.00

自引率

10.00%

发文量

2614

审稿时长

6 months

期刊介绍： Acta Mathematica Scientia was founded by Prof. Li Guoping (Lee Kwok Ping) in April 1981. The aim of Acta Mathematica Scientia is to present to the specialized readers important new achievements in the areas of mathematical sciences. The journal considers for publication of original research papers in all areas related to the frontier branches of mathematics with other science and technology.