This article is cited in 24 papers

Research Papers

On local and boundary behaviour of mappings in metric spaces

E. A. Sevostyanov

Zhytomyr Ivan Franko State University, Zhytomyr, Ukraine

Abstract: The paper is devoted to maps of metric spaces whose quasiconformal characteristic satisfies certain restrictions of integral nature. In particular, theorems on equicontinuity of a family of homeomorphisms are obtained, as well as some results of their extendibility to isolated points of the boundary of a domain. Under some additional topological assumptions, similar statements hold for more general open discrete maps.

Keywords: Moduli of families of curves and surfaces, maps with bounded and finite distortion, boundary behavior of mappings, metric spaces.

Received: 05.03.2016

 English version: St. Petersburg Mathematical Journal, 2017, 28:6, 807–824

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