具有可变指数的加权贝索夫空间的特征

IF 0.8 3区数学 Q2 MATHEMATICS

Acta Mathematica Sinica-English Series Pub Date : 2024-11-15 DOI:10.1007/s10114-024-2623-2

Sheng Rong Wang, Peng Fei Guo, Jing Shi Xu

引用次数: 0

摘要

在本文中，我们首先通过 Peetre 的最大函数给出了具有可变指数的加权 Besov 空间的特征。然后，我们通过原子、分子和小波得到这些空间的分解特征。作为应用，我们得到了这些空间上伪微分算子的有界性。

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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Characterizations of Weighted Besov Spaces with Variable Exponents

In this paper, we first give characterizations of weighted Besov spaces with variable exponents via Peetre’s maximal functions. Then we obtain decomposition characterizations of these spaces by atom, molecule and wavelet. As an application, we obtain the boundedness of the pseudo-differential operators on these spaces.

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来源期刊

Acta Mathematica Sinica-English Series 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

138

审稿时长

14.5 months

期刊介绍： Acta Mathematica Sinica, established by the Chinese Mathematical Society in 1936, is the first and the best mathematical journal in China. In 1985, Acta Mathematica Sinica is divided into English Series and Chinese Series. The English Series is a monthly journal, publishing significant research papers from all branches of pure and applied mathematics. It provides authoritative reviews of current developments in mathematical research. Contributions are invited from researchers from all over the world.