Pseudo-Differential Operators on Matrix Weighted Besov–Triebel–Lizorkin Spaces

IF 0.7 4区数学 Q2 MATHEMATICS Bulletin of The Iranian Mathematical Society Pub Date : 2024-04-08 DOI:10.1007/s41980-024-00869-w

Tengfei Bai, Jingshi Xu

引用次数: 0

Abstract

We characterize the matrix-weighted Triebel–Lizorkin spaces and Besov spaces by Peetre maximal function and approximation. Using these characterizations, we obtain the boundedness of pseudo-differential operators with symbol in Hörmander’s class on matrix weighted Besov and Triebel–Lizorkin spaces.

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矩阵加权贝索夫-特里贝尔-利佐金空间上的伪微分算子

我们通过 Peetre 最大函数和近似来描述矩阵加权 Triebel-Lizorkin 空间和 Besov 空间。利用这些特征，我们得到了矩阵加权贝索夫空间和特里贝尔-利佐尔金空间上霍尔曼德类符号的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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Bulletin of The Iranian Mathematical Society Mathematics-General Mathematics

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1.40

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0.00%

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期刊介绍： The Bulletin of the Iranian Mathematical Society (BIMS) publishes original research papers as well as survey articles on a variety of hot topics from distinguished mathematicians. Research papers presented comprise of innovative contributions while expository survey articles feature important results that appeal to a broad audience. Articles are expected to address active research topics and are required to cite existing (including recent) relevant literature appropriately. Papers are critically reviewed on the basis of quality in its exposition, brevity, potential applications, motivation, value and originality of the results. The BIMS takes a high standard policy against any type plagiarism. The editorial board is devoted to solicit expert referees for a fast and unbiased review process.

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