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

作     者：Santosh Kumar UPADHYAY Mohd SARTAJ Santosh Kumar UPADHYAY;Mohd SARTAJ

作者机构：Department of Mathematical SciencesIndian Institute of Technology(BHU)VaranasiIndia 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2024年第40卷第6期

页      面：1533-1562页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

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

主　　题：Pseudo-Differential Operators Homogeneous Symbol Class Weinstein Operator Sobolev space Weinstein transform 

摘      要：In this paper,pseudo-differential operators with homogeneous symbol classes associated with the Weinstein transform are *** 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.