Semi-Bloch Functions in Several Complex Variables

被引：0

作者：

Backlund, Ulf ^{[1
]}

Carlsson, Linus ^{[2
]}

Fallstrom, Anders ^{[3
]}

Persson, Hakan ^{[4
]}

机构：

[1] Danderyds Gymnasium, Danderyd, Sweden

[2] Malardalen Univ, Acad Culture & Commun, Vasteras, Sweden

[3] Umea Univ, Dept Math & Math Stat, Umea, Sweden

[4] Uppsala Univ, Dept Math, POB 480, S-75106 Uppsala, Sweden

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2016年 / 26卷 / 01期

关键词：

Semi-Bloch functions; Bloch functions; Normal functions; Kobayashi-Royden pseudometric;

D O I：

10.1007/s12220-015-9558-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let M be an n-dimensional complex manifold. A holomorphic function f : M -> C is said to be semi-Bloch if for every lambda is an element of C the function g(lambda) = exp(lambda f(z)) is normal on M. We characterize semi-Bloch functions on infinitesimally Kobayashi non-degenerate M in geometric as well as analytic terms. Moreover, we show that on such manifolds, semi-Bloch functions are normal.

引用

页码：463 / 473

页数：11

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