| Title:
|
Variable exponent Fock spaces (English) |
| Author:
|
Chacón, Gerardo R. |
| Author:
|
Chacón, Gerardo A. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
70 |
| Issue:
|
1 |
| Year:
|
2020 |
| Pages:
|
187-204 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We introduce variable exponent Fock spaces and study some of their basic properties such as boundedness of evaluation functionals, density of polynomials, boundedness of a Bergman-type projection and duality. We also prove that under the global log-Hölder condition, the variable exponent Fock spaces coincide with the classical ones. (English) |
| Keyword:
|
Fock space |
| Keyword:
|
variable exponent Lebesgue space |
| Keyword:
|
Bergman projection |
| MSC:
|
30H20 |
| MSC:
|
46E30 |
| idZBL:
|
07217128 |
| idMR:
|
MR4078353 |
| DOI:
|
10.21136/CMJ.2019.0205-18 |
| . |
| Date available:
|
2020-03-10T10:17:24Z |
| Last updated:
|
2022-04-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148049 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| . |
