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