Chaos of the Differentiation Operator on Weighted Banach Spaces of Entire Functions

被引：18

作者：

Bonet, Jose ^{[1
]}

Bonilla, Antonio ^{[2
]}

机构：

[1] Univ Politecn Valencia, IUMPA, Valencia 46022, Spain

[2] Univ La Laguna, Dept Anal Matemat, San Cristobal la Laguna 38271, Tenerife, Spain

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2013年 / 7卷 / 01期

关键词：

Weighted spaces of entire functions; Differentiation operator; Hypercyclic operator; Chaotic operator; Frequently hypercyclic operator; HYPERCYCLIC ENTIRE-FUNCTIONS; HOLOMORPHIC-FUNCTIONS; GROWTH;

D O I：

10.1007/s11785-011-0134-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Motivated by recent work on the rate of growth of frequently hypercyclic entire functions due to Blasco, Grosse-Erdmann and Bonilla, we investigate conditions to ensure that the differentiation operator is chaotic or frequently hypercyclic on generalized weighted Bergman spaces of entire functions studied by Lusky, whenever the differentiation operator is continuous. As a consequence we partially complete the knowledge of possible rates of growth of frequently hypercyclic entire functions for the differentiation operator.

引用

页码：33 / 42

页数：10

共 50 条

[41] Weighted inductive limits of spaces of entire functions
Klaus D. Bierstedt
José Bonet
Jari Taskinen
Monatshefte für Mathematik, 2008, 154 : 103 - 120
[42] WEIGHTED SPACES OF ENTIRE FUNCTIONS - PRELIMINARY REPORT
METZGER, JJ
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 18 (01): : 155 - &
[43] Weighted inductive limits of spaces of entire functions
Bierstedt, Klaus D.
Bonet, Jose
Taskinen, Jari
MONATSHEFTE FUR MATHEMATIK, 2008, 154 (02): : 103 - 120
[44] TRANSLATION OPERATORS ON WEIGHTED SPACES OF ENTIRE FUNCTIONS
Pham Trong Tien
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 145 (02) : 805 - 815
[45] Quasinormable weighted Frechet spaces of entire functions
Wolf, Elke
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2009, 16 (02) : 351 - 360
[46] ON APPROXIMATION OF HOMOMORPHISMS OF ALGEBRAS OF ENTIRE FUNCTIONS ON BANACH SPACES
Pryimak, H. M.
CARPATHIAN MATHEMATICAL PUBLICATIONS, 2019, 11 (01) : 158 - 162
[47] DUALS OF BANACH-SPACES OF ENTIRE-FUNCTIONS
ANDERSON, JM
DUNCAN, J
GLASGOW MATHEMATICAL JOURNAL, 1990, 32 : 215 - 220
[48] Interpolation and frames in certain Banach spaces of entire functions
Robert M. Young
Journal of Fourier Analysis and Applications, 1997, 3 : 639 - 645
[49] Entire functions on banach spaces with the U$U$-property
Carrion, Humberto D., V
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2022, 54 (01) : 126 - 144
[50] DUALITY IN BANACH SPACES OF ENTIRE FUNCTIONS - PRELIMINARY REPORT
WILLIAMS, DL
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 19 (01): : A163 - &

← 1 2 3 4 5 →