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

被引：1

作者：

Upadhyay, Santosh Kumar ^{[1
]}

Sartaj, Mohd ^{[1
]}

机构：

[1] Indian Inst Technol BHU, Dept Math Sci, Varanasi, India

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2024年 / 40卷 / 06期

关键词：

Pseudo-Differential Operators; Homogeneous Symbol Class; Weinstein Operator; Sobolev space; Weinstein transform; CONTINUITY; SPACES;

D O I：

10.1007/s10114-024-2405-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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-alpha,2(r) are proven with the help of the Weinstein transform technique.

引用

页码：1533 / 1562

页数：30

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