Pseudo-differential operators in the generalized weinstein setting

被引：3

作者：

Ben Mohamed, Hassen ^{[1
]}

Bettaibi, Youssef ^{[1
]}

机构：

[1] Univ Gabes, Fac Sci, Dept Math, Gabes, Tunisia

来源：

RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2023年 / 72卷 / 07期

关键词：

Generalized Weinstein operator; Generalized Weinstein Transform; Sobolev spaces; Pseudo-differential operators;

D O I：

10.1007/s12215-022-00827-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider the generalized Weinstein operator Delta(d)(,alpha,n)(w). For n = 0, we regain the classical Weinstein operator Delta(alpha,d)(w). We introduce and study the Sobolev spaces associated with the generalized Weinstein operator and investigate their properties. Next, we introduce a class of symbols and their associated pseudo-differential operators.

引用

页码：3345 / 3361

页数：17

共 10 条

[1]

Abouelaz A, 2015, INT J ANAL APPL, V9, P19

[2]

Ben Mohamed, 2017, INT J OPEN PROBL COM, V9

[3]

Ben Mohamed H., 2016, AN ST U OVID CONSTAN, V1, P1

[4]

Ben Mohamed H., J MATH RES APPL