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On equicontinuity of homeomorphisms in a closure of a domain in metric spaces

2015/02/20 by Evgeny Sevost’yanov, Sevost'yanov, Evgeny
Mathematics · #Analytic and geometric function theory #Holomorphic and Operator Theory #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1502.07932

Abstract

In the present paper, homeomorphisms in metric spaces which generalize quasiconformal mappings, are investigated. It is proved that, at some conditions on metric spaces and boundaries of corresponding domains, families of above mappings are equicontinuous in a closure of a given domain.

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