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.
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页数：15
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