| Title:
|
Disjoint hypercyclic powers of weighted translations on groups (English) |
| Author:
|
Zhang, Liang |
| Author:
|
Lu, Hui-Qiang |
| Author:
|
Fu, Xiao-Mei |
| Author:
|
Zhou, Ze-Hua |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
67 |
| Issue:
|
3 |
| Year:
|
2017 |
| Pages:
|
839-853 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $G$ be a locally compact group and let $1 \le p < \infty .$ Recently, Chen et al.\ characterized hypercyclic, supercyclic and chaotic weighted translations on locally compact groups and their homogeneous spaces. There has been an increasing interest in studying the disjoint hypercyclicity acting on various spaces of holomorphic functions. In this note, we will study disjoint hypercyclic and disjoint supercyclic powers of weighted translation operators on the Lebesgue space $L^p(G)$ in terms of the weights. Sufficient and necessary conditions for disjoint hypercyclic and disjoint supercyclic powers of weighted translations generated by aperiodic elements on groups will be given. (English) |
| Keyword:
|
disjoint hypercyclic powers of weighted translations |
| Keyword:
|
aperiodic element |
| Keyword:
|
locally compact group |
| MSC:
|
46E15 |
| MSC:
|
47A16 |
| MSC:
|
47B38 |
| idZBL:
|
Zbl 06770135 |
| idMR:
|
MR3697921 |
| DOI:
|
10.21136/CMJ.2017.0204-16 |
| . |
| Date available:
|
2017-09-01T12:27:42Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/146864 |
| . |
| Reference:
|
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