Estimates for Jacobian and Dilatation Coefficients of Open Discrete Mappings with Controlled p-Module

被引：0
作者：
Anatoly Golberg
Ruslan Salimov
Evgeny Sevost’yanov
机构：
[1] Holon Institute of Technology,Department of Applied Mathematics
[2] National Academy of Sciences of Ukraine,Institute of Mathematics
[3] Zhitomir Ivan Franko State University,Department of Mathematical Analysis
来源：
Complex Analysis and Operator Theory | 2017年 / 11卷
关键词：
-module of families of curves; Weighted ; -module; Ring ; -mappings; -inner and ; -outer dilatations; Bilipschitz mappings; Mappings of finite distortion; Primary 30C65; 31B15; Secondary 26B30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study open discrete mappings whose p-module of curve families is integrally restricted and establish various estimates for the Jacobian and dilatation coefficients. We also show that such mappings are close to Lipschitz mappings, quasiregular mappings and mappings of finite distortion. The sharpness of these estimates is illustrated by several examples.
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页码：1521 / 1542
页数：21
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