The convolution for the Kontorovich-Lebedev transform revisited

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:440

Article

Nguyen Thanh Hong¹  Pham Van Hoang²  Vu Kim Tuan³ 

[1] Hanoi Natl Univ Educ, Sch Gifted Students, Hanoi, Vietnam

[2] Hanoi Dept Educ & Training, Kim Lien High Sch, Hanoi, Vietnam

[3] Univ West Georgia, Dept Math, Carrollton, GA 30118 USA

关键词: Convolution;    Kontorovich-Lebedev transform;   

DOI  :  10.1016/j.jmaa.2016.03.052

来源: Elsevier

【 摘 要 】

In this paper we prove a Young type theorem and also a class of weighted norm inequalities for the Kontorovich-Lebedev convolution. As applications we solve some parabolic differential equations (linear and nonlinear) and a convolution integral equation, and give estimates of the obtained solutions via the weighted norm inequalities. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free