Hypercyclic composition operators on Hv0-spaces

被引：11

作者：

Miralles, Alejandro ^{[1
,2
]}

Wolf, Elke ^{[3
]}

机构：

[1] Univ Jaume 1, Dept Math, E-12071 Castellon de La Plana, Spain

[2] Univ Jaume 1, IMAC, E-12071 Castellon de La Plana, Spain

[3] Univ Paderborn, Math Inst, D-33095 Paderborn, Germany

来源：

MATHEMATISCHE NACHRICHTEN | 2013年 / 286卷 / 01期

关键词：

Weighted Banach spaces of holomorphic functions; composition operators; hypercyclic functions; (MSC) 2010 47B33; 47A16; 30H10; WEIGHTED BANACH-SPACES; COMPACT COMPOSITION OPERATORS; HOLOMORPHIC-FUNCTIONS; ANALYTIC-FUNCTIONS; INDUCTIVE LIMITS; H-INFINITY;

D O I：

10.1002/mana.201100191

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider analytic self-maps phi on D and prove that the composition operator C-phi acting on H-v(0) is hypercyclic if phi is an automorphism or a hyperbolic non-automorphic symbol with no fixed point. We give examples of weights v and parabolic non-automorphisms phi on D which yield non-hypercyclic composition operators C-phi on H-v(0). (C) 2012 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：34 / 41

页数：8

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