Lebedev-Skalskaya transforms on certain function spaces and associated pseudo-differential operators

作     者：Mandal, U. K. Prasad, Akhilesh 

作者机构：Patliputra Univ Nalanda Coll Dept Math Patna Bihar India Indian Sch Mines Indian Inst Technol Dept Math & Comp Dhanbad Bihar India 

出 版 物：《INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS》 (积分变换与特殊函数)

年 卷 期：2021年第32卷第2期

页      面：113-133页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Science and Engineering Research Board  Government of India [EMR/2016/005141] 

主　　题：Lebedev-Skalskaya transforms pseudo-differential operators function spaces convolution 

摘      要：In this paper, some basic results and notations related to Lebedev- Skalskaya transforms (LS-transforms) are introduced and then estimates of translation and convolution operators associated to LS-transform are obtained. Continuity of LS-transforms on Lebesgue space as well as on function spaces S-beta,S-k and G(alpha,k) are discussed. Pseudo-differential operators in terms of LS-transforms are defined and their integral representations have been studied in various ways. Moreover, their estimates in Lebesgue space are obtained. At the end, some applications have been discussed.