GRAPHICAL LIMITS OF QUASIMEROMORPHIC MAPPINGS AND DISTORTION OF THE CHARACTERISTIC OF TETRADS

被引：1

作者：

Aseev, V. V. ^{[1
]}

机构：

[1] Sobolev Inst Math, Novosibirsk, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2023年 / 64卷 / 06期

关键词：

mapping with bounded distortion; quasiregular mapping; quasimeromorphic mapping; graphical convergence; graphical limit; Ptolemaic characteristic of a tetrad; quasimobius property;

D O I：

10.1134/S0037446623060034

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We fully describe the form of the graphical limit of a sequence of K-quasimeromorphic mappings of a domain D in (R-n) over bar which take each of its values at N distinct points at most. For the family of all K-quasimeromorphic mappings of (R-n) over bar onto itself taking each value at N 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).

引用

页码：1279 / 1288

页数：10

共 20 条

[1]

[Anonymous], 1964, Mat. Sb

[2] THE MULTI-VALUED QUASIMOBIUS MAPPINGS ON THE RIEMANN SPHERE [J].