Two-weighted inequalities for Riesz potential in $p$-convex weighted modular Banach function spaces

• Date: 2017
• Main Authors: Bandaliyev, R. A., Guliyev, V. S., Hasanov, S. G., Бандалієв, Р. А., Гулієв, В. С., Хасанов, С. Г.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2017
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1794
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

The main goal of this paper is to prove a two-weight boundedness for Riesz potential from one weighted Banach function space to another weighted Banach function space. In particular, we obtain a two-weight boundedness for Riesz potential and find sufficient conditions on the weights for boundedness...