On the Sobolev boundedness results of the product of pseudo-differential operators involving a couple of fractional Hankel transforms

被引：0
|
作者：
Akhilesh Prasad
Kanailal Mahato
机构：
[1] Indian Institute of Technology (Indian School of Mines),Department of Applied Mathematics
[2] Banaras Hindu University,Department of Mathematics, Institute of Science
来源：
Acta Mathematica Sinica, English Series | 2018年 / 34卷
关键词：
Pseudo-differential operators; Bessel operator; fractional Hankel convolution; fractional Hankel integral transform; Sobolev type space; 35S05; 46E35; 47G30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This article is concerned with the study of pseudo-differential operators associated with fractional Hankel transform. The product of two fractional pseudo-differential operators is defined and investigated its basic properties on some function space. It is shown that the pseudo-differential operators and their products are bounded in Sobolev type spaces. Particular cases are discussed.
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页码：221 / 232
页数：11
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