Continuity of pseudo-differential operator hμ,a involving Hankel translation and Hankel convolution on some Gevrey spaces

被引：8

作者：

Prasad, Akhilesh ^{[1
]}

Kumar, Manish ^{[1
]}

机构：

[1] Indian Sch Mines, Dept Appl Math, Dhanbad 826004, Bihar, India

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2010年 / 21卷 / 06期

关键词：

Hankel transformation; Hankel translation; Hankel convolution; Pseudo-differential operator; Gevrey space;

D O I：

10.1080/10652460903371256

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The pseudo-differential operator (p.d.o.) h(mu,a) associated with the Bessel operator involving the symbol a(x, y) whose derivatives satisfy certain growth conditions depending on some increasing sequences is studied on certain Gevrey spaces. The p.d.o. h(mu,a) on Hankel translation tau and Hankel convolution of Gevrey functions is a continuous linear mapping into another Gevrey space.

引用

页码：465 / 477

页数：13