Lp α(Rn+1+)- boundedness of pseudo-differential operators involving the Weinstein transform

被引：1
|
作者：
Sartaj, Mohd [1 ]
Upadhyay, S. K. [1 ]
机构：
[1] Indian Inst Technol BHU, Dept Math Sci, Varanasi 221005, India
来源：
FILOMAT | 2024年 / 38卷 / 03期
关键词：
Weinstein Transform; Pseudo-Differential Operators; Sobolev Space; Symbol Class; SPACES;
D O I：
10.2298/FIL2403957S
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, an Lp alpha(Rn+1 + ) boundedness of pseudo-differential operators associated with class of symbol S0 are proven by utilizing the theory of the Weinstein transform. Using the aforesaid theory various properties and boundedness results on Lp alpha(Rn+1 + ) type Sobolev spaces are given.
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页码：957 / 978
页数：22
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