Boundary behavior of ring Q-homeomorphisms in metric spaces

• Date: 2010
• Main Authors: Smolovaya, E. S., Смоловая, E. С.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2010
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2898
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We investigate the problem of extension of so-called ring Q-homeomorphisms between domains in metric spaces with measures to the boundary. We establish conditions for the function Q(x) and the boundary of the domain under which any ring Q-homeomorphism admits a continuous or a homeomorphic extension...