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.
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页数：18
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