On the theory of the boundary behavior of mappings of the Sovolev class on Riemann surfaces

TitleOn the theory of the boundary behavior of mappings of the Sovolev class on Riemann surfaces
Publication TypeJournal Article
Year of Publication2016
AuthorsVolkov, SV, Ryazanov, VY
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
DOI10.15407/dopovidi2016.10.005
Issue10
SectionMathematics
Pagination5-9
Date Published10/2016
LanguageRussian
Abstract

In terms of dilatations, a number of criteria for a homeomorphic extension to the boundary of mappings in the Sobolev class between domains on Riemann surfaces are formulated.
Keywordsboundary behavior, homeomorphic extension, Riemann surfaces, Sobolev classes, weakly flat boundaries
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