QUASI-CONVEX MAPPINGS OF ORDER α ON THE UNIT POLYDISK IN Cn

被引：16

作者：

Liu, Xiao-Song ^{[1
]}

Liu, Ming-Sheng ^{[2
]}

机构：

[1] Zhanjiang Normal Univ, Sch Math & Computat Sci, Zhanjiang 524048, Guangdong, Peoples R China

[2] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2010年 / 40卷 / 05期

基金：

中国国家自然科学基金;

关键词：

k-fold symmetric; convex function of order alpha; quasi-convex mapping of type B and order alpha; estimation of homogeneous expansion;

D O I：

10.1216/RMJ-2010-40-5-1619

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a sufficient condition is first obtained for the quasi-convex mapping of type B and order alpha on the unit ball in a complex Banach space. Sharp estimations of all homogeneous expansions are then provided for some quasi-convex mappings f(z) of type B and order alpha on the open unit polydisk in C-n, where f(z) = (f(1)(z), f(2)(z), ... , f(n)(z))' os a kappa-fold symmetric normalized mapping, or z = 0 is a zero of order k + 1 of f(z)-z. These results generalize some results in the literature.

引用

页码：1619 / 1644

页数：26

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