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On boundary behavior of one class of mappings on Riemannian manifolds

2015/04/13 by Evgeny Sevost'yanov, Sevost'yanov, Evgeny
Mathematics · #30C65 #31C12 #Complex Variables (math.CV) #FOS: Mathematics #math.CV #msc:30C65 #msc:31C12

paper · pdf · doi:10.48550/arxiv.1504.03295

10 pages, in Russian

arxiv created 2015/04/13 · arxiv updated 2015/04/14

Abstract

Theorems on continuous extension on boundary for one class of open discrete mappings between Riemannian manifolds are obtained. In particular, there is proved that, open discrete ring Q-mappings f:D→ D are extend to ∂ D whenever ∂ D is locally connected, ∂ D is strongly accessible, and a function Q has finite mean oscillation at ∂ D.

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