On value distributions for quasimeromorphic mappings on H-type Carnot groups

被引：8
|
作者：
Markina, Irina
Vodopyanov, Sergey
机构：
[1] Univ Tecn Federico Santa Maria, Dept Matemat, Valparaiso, Chile
[2] Sobolev Inst Math, Novosibirsk, Russia
来源：
BULLETIN DES SCIENCES MATHEMATIQUES | 2006年 / 130卷 / 06期
基金：
俄罗斯基础研究基金会;
关键词：
p-module of a family of curves; p-capacity; Carnot-Caratheodory metrics; Nilpotent Lie groups; value distribution theory;
D O I：
10.1016/j.bulsci.2005.10.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper we define quasi meromorphic mappings on homogeneous groups and study their properties. We prove an analogue of results of L. Ahlfors, R. Nevanlinna and S. Rickman, concerning the value distribution for quasimeromorphic mappings on H-type Carnot groups for parabolic and hyperbolic type domains. (C) 2005 Elsevier SAS. All rights reserved.
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页码：467 / 523
页数：57
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