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Boundary behaviour of open discrete mappings on Riemannian manifolds. II
Sbornik: Mathematics ( IF 0.8 ) Pub Date : 2020-06-17 , DOI: 10.1070/sm9228
D. P. Ilyutko 1 , E. A. Sevost’yanov 2, 3
Affiliation  

The boundary behaviour of classes of ring mappings, which generalize quasiconformal mappings in the sense of Gehring, is under investigation. Theorems proving that they have continuous boundary extensions are established in terms of prime ends of regular domains. Results on the equicontinuity of mappings in these classes in the closure of a fixed domain are also established in these terms. Bibliography: 45 titles.

中文翻译:

黎曼流形上开放离散映射的边界行为。II

正在研究环映射类的边界行为,这些环映射在Gehring的意义上推广了准保形映射。证明它们具有连续边界扩展的定理是根据规则域的素端确定的。在这些术语中,还建立了在固定域关闭时这些类中映射的等连续性的结果。参考书目:45种。
更新日期:2020-06-18
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