Two-Weight Criteria for the Multidimensional Hardy-Type Operator in $p$-Convex Banach Function Spaces and Some Applications

• Datum: 2015
• Hauptverfasser: Bandaliyev, R. A., Бандалієв, Р. А.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2015
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/1984
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

The main aim of the paper is to prove a two-weight criterion for the multidimensional Hardy-type operator from weighted Lebesgue spaces into p-convex weighted Banach function spaces. The problem for the dual operator is also considered. As an application, we prove a two-weight criterion of boundedne...