On the Boundary Behavior of One Class of Mappings in Metric Spaces
AbstractWe study the problem of extension to the boundary of continually ring Q-homeomorphisms relative to a p-module between continual domains in metric spaces with measures and formulate the conditions for the function Q and the boundaries of domains under which every continually ring Q-homeomorphism admits a continuous or homeomorphic extension to the boundary. The accumulated results yield, in particular, important applications to fractals in ℝ n , n ≥ 2.
How to Cite
Afanas’eva, E. S. “On the Boundary Behavior of One Class of Mappings in Metric Spaces”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 66, no. 1, Jan. 2014, pp. 17–29, http://umj.imath.kiev.ua/index.php/umj/article/view/2107.