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.
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页码：1533 / 1562
页数：30
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