On local and boundary behaviour of mappings in metric spaces

E. A. Sevostyanov

Algebra i analiz, Tome 28 (2016) no. 6, pp. 118-146.

Résumé

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.

Détail

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

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