Boundedness of pseudo-differential operators involving Kontorovich-Lebedev transform

被引：17

作者：

Prasad, Akhilesh ^{[1
]}

Mandal, U. K. ^{[1
]}

机构：

[1] Indian Sch Mines, Indian Inst Technol, Dept Appl Math, Dhanbad, India

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2017年 / 28卷 / 04期

关键词：

Pseudo-differential operator; Kontorovich-Lebedev transform; convolution; DISTRIBUTIONS; CONVOLUTION;

D O I：

10.1080/10652469.2017.1288726

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A pair of pseudo-differential operators (p.d.o.) involving the Kontorovich-Lebedev transform (KL-transform) as well as its adjoint is defined. Estimates for translation and convolution function associated with the Kontorovich-Lebedev transform are obtained. Continuity of KL-transform and p.d.o. on on H-omega(R+)(or H-omega(0)(R+)) and G omega(R+) are discussed.

引用

页码：300 / 314

页数：15

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