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 ^{[1
]}

Kanailal MAHATO ^{[2
]}

机构：

[1] Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines)

[2] Department of Mathematics, Institute of Science, Banaras Hindu University

来源：

Acta Mathematica Sinica | 2018年 / 34卷 / 02期

关键词：

D O I：

暂无

中图分类号：

O175.3 [微分算子理论];

学科分类号：

070104 ;

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.

引用

页码：221 / 232

页数：12

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