与韦恩斯坦变换相关的同符号类伪微分算子

IF 0.8 3区数学 Q2 MATHEMATICS

Acta Mathematica Sinica-English Series Pub Date : 2024-04-15 DOI:10.1007/s10114-024-2405-x

Santosh Kumar Upadhyay, Mohd Sartaj

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引用次数: 0

摘要

本文介绍了与韦恩斯坦变换相关的具有同质符号类的伪微分算子。借助韦恩斯坦变换技术，证明了ℌrα,2 上伪微分算子的有界性和两个伪微分算子之间的换元器。

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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Pseudo-Differential Operators of Homogeneous Symbol Class Associated with the Weinstein Transform

In this paper, pseudo-differential operators with homogeneous symbol classes associated with the Weinstein transform are introduced. The boundedness of pseudo-differential operators and commutator between two pseudo-differential operators on ℌ ^r_α,2 are proven with the help of the Weinstein transform technique.

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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.