On the Sobolev Boundedness Results of the Product of Pseudo-differential Operators Involving a Couple of Fractional Hankel Transforms

被引：6
|
作者：
Prasad, Akhilesh [1 ]
Mahato, Kanailal [2 ]
机构：
[1] Indian Inst Technol, Indian Sch Mines, Dept Appl Math, Dhanbad 826004, Bihar, India
[2] Banaras Hindu Univ, Inst Sci, Dept Math, Varanasi 221005, Uttar Pradesh, India
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2018年 / 34卷 / 02期
关键词：
Pseudo-differential operators; Bessel operator; fractional Hankel convolution; fractional Hankel integral transform; Sobolev type space; GENERALIZED-FUNCTIONS; BESSEL OPERATORS; SPACES;
D O I：
10.1007/s10114-017-7151-x
中图分类号：
O29 [应用数学];
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.
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页码：221 / 232
页数：12
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