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On Value Distributions for Quasimeromorphic Mappings on $\mathbb H$-type Carnot Groups

偏微分方程分析 2007-05-23 v1 度量几何

摘要

In the present paper we define quasimeromorphic 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\mathbb H-type Carnot groups for parabolic and hyperbolic type domains.

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引用

@article{arxiv.math/0509289,
  title  = {On Value Distributions for Quasimeromorphic Mappings on $\mathbb H$-type Carnot Groups},
  author = {Irina Markina and Sergey Vodopyanov},
  journal= {arXiv preprint arXiv:math/0509289},
  year   = {2007}
}

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56 pages