On equicontinuity of families of mappings between Riemannian surfaces with respect to prime ends

Given a domain of some Riemannian surface, we consider questions related to the possibility of a continuous extension to the boundary of one class of Sobolev mappings. It is proved that such maps have a continuous boundary extension in terms of prime ends, and under some additional restrictions thei...

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Bibliographic Details
Main Authors: E. Sevost'yanov, O. P. Dovhopiatyi, N. S. Ilkevych, V. P. Kalenska
Format: Article
Language:German
Published: Ivan Franko National University of Lviv 2022-06-01
Series:Математичні Студії
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Online Access:http://matstud.org.ua/ojs/index.php/matstud/article/view/299
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