两类正规化双全纯映照子族齐次展开式的精细估计

刘小松;刘太顺;

数学学报 ›› 2007, Vol. 50 ›› Issue (2) : 393-400.

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PDF(478 KB)
数学学报 ›› 2007, Vol. 50 ›› Issue (2) : 393-400. DOI: 10.12386/A2007sxxb0047
论文

两类正规化双全纯映照子族齐次展开式的精细估计

    刘小松;刘太顺;
作者信息 +

The Refined Estimation of Homogeneous Expansion for Two Subclasses of Normalized Biholomorphic Mappings

    Xiao Song LIU(1); Tai Shun LIU
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文章历史 +

摘要

本文考虑C~n中单位多圆柱上和一般复Banach空间中单位球上的正规化双全纯α(0■α<1)次的殆β(-π/2<β<π/2)型螺形映照以及α(0<α<1)次的β(-π/2<β<π/2)型螺形映照f(其中x=0是f(x)-x的k+1阶零点),研究了它们的构造,并得到其齐次展开式的精细估计.所得的结果推广了以前相应的结论.

Abstract

In this paper,we consider a normalized biholomorphic almost spirallike map- ping of typeβ(-π/2<β<π/2) and order a (0■α<1) or a normalized biholomorphic spirallike mapping of typeβ(-π/2<β<π/2) and order a (0<α<1) f defined on the unit polydisk of C~n and the unit ball in a complex Banach space,where x=0 is a zero of order k+1 of f(x)-x.We investigate its construction,and the refined estimation of homogeneous expansion for f(x)is obtained.Our result extends the corresponding known conclusions.

关键词

α次的β型螺形映照 / k+1阶零点 / α次的殆β型螺形映照

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刘小松;刘太顺;. 两类正规化双全纯映照子族齐次展开式的精细估计. 数学学报, 2007, 50(2): 393-400 https://doi.org/10.12386/A2007sxxb0047
Xiao Song LIU(1); Tai Shun LIU. The Refined Estimation of Homogeneous Expansion for Two Subclasses of Normalized Biholomorphic Mappings. Acta Mathematica Sinica, Chinese Series, 2007, 50(2): 393-400 https://doi.org/10.12386/A2007sxxb0047
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