On the boundary behavior of imbeddings of metric spaces into a Euclidean space

  • R. R. Salimov Ин-т прикл. математики и механики НАН Украины, Донецк

Abstract

We investigate the boundary behavior of so-called Q-homeomorphisms with respect to a measure in some metric spaces. We formulate a series of conditions for the function Q(x) and the boundary of the domain under which any Q-homeomorphism with respect to a measure admits a continuous extension to a boundary point.
Published
25.08.2007
How to Cite
SalimovR. R. “On the Boundary Behavior of Imbeddings of Metric Spaces into a Euclidean Space”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, no. 8, Aug. 2007, pp. 1068–1074, https://umj.imath.kiev.ua/index.php/umj/article/view/3370.
Section
Research articles