The generalized Kontorovich-Lebedev transform and associated operators

被引：1

作者：

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

Prasad, Akhilesh ^{[2
]}

机构：

[1] Patliputra Univ, Nalanda Coll, Dept Math, Patna, India

[2] Indian Inst Technol, Indian Sch Mines, Dept Math & Comp, Dhanbad 826004, India

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2023年 / 117卷 / 03期

关键词：

Kontorovich-Lebedev transform; Pseudo-differential operator; Convolution; PSEUDODIFFERENTIAL-OPERATORS; FRACTIONAL FOURIER; HANKEL TRANSFORM; CONTINUITY; BOUNDEDNESS; CONVOLUTION;

D O I：

10.1007/s13398-023-01456-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main goal of the paper is to generalize the traditional Kontorovich-Lebedev transform to arbitrary order and study its fundamental results. Translation and convolution operators are defined and their estimates in Lebesgue spaces are obtained. The continuity of the generalized Kontorovich-Lebedev transform as well as its adjoint over certain function spaces are discussed. Moreover, pseudo-differential operators are introduced and their continuity over Lebesgue spaces are studied.

引用

页数：15

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