ON THE SHARP GROWTH, COVERING THEOREMS FOR NORMALIZED BIHOLOMORPHIC MAPPINGS IN Cn

doi:10.1016/S0252-9602(07)60077-0

数学物理学报(英文版)

ON THE SHARP GROWTH, COVERING THEOREMS FOR NORMALIZED BIHOLOMORPHIC MAPPINGS IN Cⁿ

刘小松; 刘太顺

湛江师范大学数学与计算机学院, 湛江 524048

收稿日期:2005-10-08 修回日期:2006-03-23 出版日期:2007-10-20 发布日期:2007-10-20
通讯作者: 刘小松
基金资助:
The research was supported by the National Natural Science Foundation of China (10571164), Specialized Research Fund for the Doctoral Program of Higher Education (20050358052), Guangdong Natural Science Foundation (06301315) and the Doctoral Foundation of Zhanjiang Normal University (Z0420)

ON THE SHARP GROWTH, COVERING THEOREMS FOR NORMALIZED BIHOLOMORPHIC MAPPINGS IN Cⁿ

Liu Xiaosong; Liu Taishun

School of Mathematics and Computation Science, Zhanjiang Normal University, Zhanjiang 524048, China

Received:2005-10-08 Revised:2006-03-23 Online:2007-10-20 Published:2007-10-20
Contact: Liu Xiaosong

摘要/Abstract

摘要：

In this article, a normalized biholomorphic mapping f defined on bounded starlike circular domain in Cⁿ is considered, where z=0 is a zero of order k+1 of f(z)-z. The sharp growth, covering theorems for almost starlike mappings of order α and starlike mappings of order α are established. Meanwhile, the
construction of the above mappings on bounded starlike circular domain in Cⁿ is also discussed, it provides the extremal mappings for the growth, covering theorems of the above mappings.

关键词: Zero of order k+1, normalized biholomorphic mappings, almost starlike mappings of order α, starlike mappings of order α, growth, covering theorems

Abstract:

Key words: Zero of order k+1, normalized biholomorphic mappings, almost starlike mappings of order α, starlike mappings of order α, growth, covering theorems

中图分类号:

30C25

刘小松; 刘太顺. ON THE SHARP GROWTH, COVERING THEOREMS FOR NORMALIZED BIHOLOMORPHIC MAPPINGS IN Cⁿ[J]. 数学物理学报(英文版), 2007, 27(4): 803-812.

Liu Xiaosong; Liu Taishun. ON THE SHARP GROWTH, COVERING THEOREMS FOR NORMALIZED BIHOLOMORPHIC MAPPINGS IN Cⁿ[J]. Acta mathematica scientia,Series B, 2007, 27(4): 803-812.

[1]	陈兵龙, 朱熹平. YAU'S UNIFORMIZATION CONJECTURE FOR MANIFOLDS WITH NON-MAXIMAL VOLUME GROWTH[J]. 数学物理学报(英文版), 2018, 38(5): 1468-1484.
[2]	廖家锋, 蒲洋, 唐春雷. MULTIPLICITY OF POSITIVE SOLUTIONS FOR A CLASS OF CONCAVE-CONVEX ELLIPTIC EQUATIONS WITH CRITICAL GROWTH[J]. 数学物理学报(英文版), 2018, 38(2): 497-518.
[3]	李全清, 吴鲜. EXISTENCE OF NONTRIVIAL SOLUTIONS FOR GENERALIZED QUASILINEAR SCHRÖDINGER EQUATIONS WITH CRITICAL OR SUPERCRITICAL GROWTHS[J]. 数学物理学报(英文版), 2017, 37(6): 1870-1880.
[4]	章国庆, 张卫国, 刘三阳. EXISTENCE RESULT FOR A CLASS OF N-LAPLACIAN EQUATIONS INVOLVING CRITICAL GROWTH[J]. 数学物理学报(英文版), 2017, 37(5): 1348-1360.
[5]	张月阳, 高宗升, 张继龙. ON GROWTH OF MEROMORPHIC SOLUTIONS OF NONLINEAR DIFFERENCE EQUATIONS AND TWO CONJECTURES OF C.C.YANG[J]. 数学物理学报(英文版), 2016, 36(1): 195-202.
[6]	李为, 汪星, 黄南京. DIFFERENTIAL INVERSE VARIATIONAL INEQUALITIES IN FINITE DIMENSIONAL SPACES[J]. 数学物理学报(英文版), 2015, 35(2): 407-422.
[7]	李叶舟\|戚建明\|袁文俊. GROWTH OF MEROMORPHIC SOLUTIONS OF SOME ALGEBRAIC DIFFERENTIAL EQUATIONS[J]. 数学物理学报(英文版), 2015, 35(1): 105-111.
[8]	李海绸\|高凌云. MEROMORPHIC SOLUTIONS OF A TYPE OF SYSTEM OF COMPLEX DIFFERENTIAL-DIFFERENCE EQUATIONS[J]. 数学物理学报(英文版), 2015, 35(1): 195-206.
[9]	Kaouther AMMAR, Hicham REDWANE. EXISTENCE OF POSITIVE SOLUTIONS FOR A CLASS OF PARABOLIC EQUATIONS WITH NATURAL GROWTH TERMS AND L¹ DATA[J]. 数学物理学报(英文版), 2014, 34(4): 1127-1144.
[10]	周少波, 薛明皋. EXPONENTIAL STABILITY FOR NONLINEAR HYBRID STOCHASTIC PANTOGRAPH EQUATIONS AND NUMERICAL APPROXIMATION[J]. 数学物理学报(英文版), 2014, 34(4): 1254-1270.
[11]	霍颖莹, 孔荫莹. ON GENERALIZED ORDERS AND GENERALIZED TYPES OF DIRICHLET SERIES IN THE RIGHT HALF-PLANE[J]. 数学物理学报(英文版), 2014, 34(1): 175-182.
[12]	张然然, 陈宗煊. ON MEROMORPHIC SOLUTIONS OF RICCATI AND LINEAR DIFFERENCE EQUATIONS[J]. 数学物理学报(英文版), 2013, 33(5): 1243-1254.
[13]	周军. ON THE CAUCHY PROBLEM FOR A REACTION-DIFFUSION SYSTEM WITH SINGULAR NONLINEARITY[J]. 数学物理学报(英文版), 2013, 33(4): 1031-1048.
[14]	高凌云. THE GROWTH ORDER OF SOLUTIONS OF SYSTEMS OF COMPLEX DIFFERENCE EQUATIONS[J]. 数学物理学报(英文版), 2013, 33(3): 814-820.
[15]	陈化, 刘功伟. GLOBAL EXISTENCE, UNIFORM DECAY AND EXPONENTIAL GROWTH FOR A CLASS OF SEMI-LINEAR WAVE EQUATION WITH STRONG DAMPING[J]. 数学物理学报(英文版), 2013, 33(1): 41-58.

ON THE SHARP GROWTH, COVERING THEOREMS FOR NORMALIZED BIHOLOMORPHIC MAPPINGS IN Cⁿ

ON THE SHARP GROWTH, COVERING THEOREMS FOR NORMALIZED BIHOLOMORPHIC MAPPINGS IN Cⁿ

PDF (PC)

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

Metrics

本文评价

推荐阅读 10