Composition of pseudodifferential operators associated with fractional Hankel-Clifford integral transformations

被引：12
|
作者：
Prasad, Akhilesh [1 ]
Kumar, Praveen [1 ]
机构：
[1] Indian Sch Mines, Dept Appl Math, Dhanbad 826004, Bihar, India
来源：
APPLICABLE ANALYSIS | 2016年 / 95卷 / 08期
关键词：
pseudodifferential operator; Zemanian space; fractional Hankel-Clifford transformation; fractional Hankel-Clifford convolution; Sobolev-type space; SPACES;
D O I：
10.1080/00036811.2015.1073264
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Two versions of pseudodifferential operators (pdo) involving fractional powers Hankel-Clifford integral transformations are defined. The composition of first and second fractional pdo is defined. We show that the pdo and composition of pdo are bounded in a certain Sobolev-type space associated with the fractional powers of Hankel-Clifford integral transformations. Some special cases are also discussed.
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页码：1792 / 1807
页数：16
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