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

作　　者：Santosh Kumar UPADHYAY Mohd SARTAJ 

机构地区：[1]Department of Mathematical Sciences,Indian Institute of Technology(BHU),Varanasi,India

出　　处：《Acta Mathematica Sinica,English Series》2024年第6期1533-1562,共30页数学学报（英文版）

基　　金：Supported by SERB MATRICS(Grant No.MTR2021/000266)。

摘　　要：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_(α,2)^(r) are proven with the help of the Weinstein transform technique.

关 键 词：Pseudo-Differential Operators Homogeneous Symbol Class Weinstein Operator Sobolev space Weinstein transform 

分 类 号：O175.3[理学—数学]