Graphical Limits of Quasimeromorphic Mappings and Distortion of the Characteristic of Tetrads

We fully describe the form of the graphical limit of a sequence of -quasimeromorphic mappings of a domain  in  which take each of its values at  distinct points at most. For the family of all -quasimeromorphic mappings of  onto itself taking each value at  points at most we establish the presence of...

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Bibliographic Details
Published in:Siberian mathematical journal 2023-11, Vol.64 (6), p.1279-1288
Main Author: Aseev, V. V.
Format: Article
Language:English
Subjects:
Distortion
Mathematics
Mathematics and Statistics
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Summary:We fully describe the form of the graphical limit of a sequence of -quasimeromorphic mappings of a domain  in  which take each of its values at  distinct points at most. For the family of all -quasimeromorphic mappings of  onto itself taking each value at  points at most we establish the presence of a common estimate for the distortion of the Ptolemaic characteristic of generalized tetrads (quadruples of disjoint compact sets).
ISSN:0037-4466
1573-9260
DOI:10.1134/S0037446623060034