On the Fourier sine and Kontorovich–Lebedev generalized convolution transforms and applications

• Date: 2020
• Main Author: Tuan , T.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2020
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2370
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.5 We study a generalized convolutions for the Fourier sine and Kontorovich - Lebedev transforms $ (h\underset{F_s,K}\ast f)(x)$ in a two-parameter function space $L_p^{\alpha, \beta}(\Bbb R_+)$. We obtain several estimates for the norms and prove a Young-type inequality for this generalized...