| Title:
|
Polynomial expansiveness and admissibility of weighted Lebesgue spaces (English) |
| Author:
|
Hai, Pham Viet |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
71 |
| Issue:
|
1 |
| Year:
|
2021 |
| Pages:
|
111-136 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The paper investigates the interaction between the notions of expansiveness and admissibility. We consider a polynomially bounded discrete evolution family and define an admissibility notion via the solvability of an associated difference equation. Using the admissibility of weighted Lebesgue spaces of sequences, we give a characterization of discrete evolution families which are polynomially expansive and also those which are expansive in the ordinary sense. Thereafter, we apply the main results in order to infer continuous-time characterizations for the notions of expansiveness through the solvability of an associated integral equation. (English) |
| Keyword:
|
polynomial expansiveness |
| Keyword:
|
evolution family |
| MSC:
|
34D05 |
| MSC:
|
34E05 |
| idZBL:
|
07332708 |
| idMR:
|
MR4226473 |
| DOI:
|
10.21136/CMJ.2020.0195-19 |
| . |
| Date available:
|
2021-03-12T16:11:01Z |
| Last updated:
|
2023-04-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148731 |
| . |
| Reference:
|
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| . |
