Composition of linear canonical Hankel pseudo-differential operators

被引：0

作者：

Singh, Ujjawala ^{[1
]}

Kumar, Tanuj ^{[1
]}

机构：

[1] VIT AP Univ, Dept Math, Amaravati, Andhra Prades, India

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2023年 / 16卷 / 08期

关键词：

Linear canonical transformation; Hankel transformation; Sobolev space; pseudo-differential operators; TRANSFORMATIONS; PAIR;

D O I：

10.1142/S1793557123501449

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the study of linear canonical Hankel pseudo-differential operators has been extended to Sobolev-type spaces. Two versions of pseudo-differential operators involving linear canonical Hankel transformation are defined. We have shown that the pseudo-differential operators and composition of pseudo-differential operators are bounded in certain Sobolev-type spaces associated with linear canonical Hankel transformations.

引用

页数：15

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