Boundedness of Riesz-type potential operators on variable exponent Herz – Morrey spaces

• Date: 2017
• Main Authors: Wu, Jianglong, Ву, Янглонг
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2017
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1769
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We show the boundedness of the Riesz-type potential operator of variable order $\beta (x)$ from the variable exponent Herz – Morrey spaces $M \dot{K}^{\alpha (\cdot ),\lambda}_{p_1 ,q_1 (\cdot )}(\mathbb{R}^n)$ into the weighted space $M \dot{K}^{\alpha (\cdot ),\lambda}_{p_2 ,q_2 (\cdot )}(\mathb...