Lαp-boundedness of the pseudo-differential operators associated with the Kontorovich-Lebedev transform

被引：0

作者：

Srivastava, H. M. ^{[1
,2
,3
]}

Chauhan, Manmohan Singh ^{[4
]}

Upadhyay, S. K. ^{[5
]}

机构：

[1] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada

[2] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan

[3] Azerbaijan Univ, Dept Math & Informat, 71 Jeyhun Hajibeyli St, AZ-1007 Baku, Azerbaijan

[4] Banaras Hindu Univ, Inst Sci, DST Ctr Interdisciplinary Math Sci, Varanasi 221005, Uttar Pradesh, India

[5] BHU, Indian Inst Technol, Dept Math Sci, Varanasi 221005, Uttar Pradesh, India

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2020年 / 114卷 / 02期

关键词：

L-alpha(p)-boundedness; Kontorovich-Lebedev transform; Macdonald function (or the modified Bessel function of the third kind); Pseudo-differential operators; Integral representations; SPACE;

D O I：

10.1007/s13398-020-00812-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, the authors prove a potentially useful L alpha p-boundedness result for the pseudo-differential operators involving the Kontorovich-Lebedev transform. Several other related recent investigations, which dealt with the Kontorovich-Lebedev transform and the pseudo-differential operators are also considered for motivation purposes.

引用

页数：18

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