Universal Entire Curves in Projective Spaces with Slow Growth

被引：1

作者：

Chen, Zhangchi ^{[1
]}

Huynh, Dinh Tuan ^{[2
]}

Xie, Song-Yan ^{[3
,4
,5
]}

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, Morningside Ctr Math, Beijing 100190, Peoples R China

[2] Hue Univ, Univ Educ, Dept Math, 34 Le Loi St, Hue, Vietnam

[3] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China

[4] Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China

[5] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2023年 / 33卷 / 09期

基金：

国家重点研发计划; 中国博士后科学基金;

关键词：

Universality; Entire curves; Hypercyclicity; Nevanlinna characteristic functions; Nevanlinna theory; Rational approximations;

D O I：

10.1007/s12220-023-01368-w

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct explicit universal entire curves h : C ? CPn whose Nevanlinna characteristic functions grow slower than any preassigned transcendental growth rate. Moreover, we can make h to be hypercyclic for translation operations along any given countable directions.

引用

页数：12

共 39 条

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[12] HYPERCYCLICITY OF CONVOLUTION OPERATORS ON SPACES OF ENTIRE FUNCTIONS
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