Compositionally Universal Entire Functions on the Plane and the Punctured Plane

被引：0
|
作者：
Luis Bernal-González
机构：
[1] University of Sevilla,Departamento de Análisis Matemático, Facultad de Matemáticas
来源：
Complex Analysis and Operator Theory | 2013年 / 7卷
关键词：
Universal entire functions; Punctured plane; Universal sequence of operators; Hypercyclic functions; Boundedness; Frequent universality; Primary 30E10; Secondary 47A16; 47B33;
D O I：
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中图分类号：
学科分类号：
摘要：
Necessary/sufficient conditions for a sequence of automorphisms of the complex plane to generate a sequence of composition operators that is universal on the punctured plane are provided. As a consequence, it is derived that only for translations and rotation–dilations there can be entire functions whose orbits present universality. Boundedness of these functions on unbounded sets as well as frequent universality on the whole plane are also analyzed.
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页码：577 / 592
页数：15
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