Boundedness of pseudo-differential operator associated with fractional Hankel transform

被引：0
|
作者：
Akhilesh Prasad
V. K. Singh
机构：
[1] Indian School of Mines,Department of Applied Mathematics
来源：
Fractional Calculus and Applied Analysis | 2014年 / 17卷
关键词：
pseudo-differential operator; Hankel transform; fractional Hankel transform; fractional Bessel operator; Sobolev space; Primary 46F12; Secondary 47G30, 44Axx;
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摘要：
A pseudo-differential operator (p.d.o.) associated with the fractional Hankel transform involving the symbol a(x, ξ) is defined. An integral representation of p.d.o. and boundedness result of the composition of operators Δμr and Aμ,α are obtained. A generalized integral operator Aμ,aα corresponding to p.d.o. is also defined and the properties of the product of two generalized integral operators corresponding to p.d.o. are studied.
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页码：154 / 170
页数：16
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