| Title:
|
Carleson measures and Toeplitz operators on small Bergman spaces on the ball (English) |
| Author:
|
Le, Van An |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
71 |
| Issue:
|
1 |
| Year:
|
2021 |
| Pages:
|
211-229 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We study Carleson measures and Toeplitz operators on the class of so-called small weighted Bergman spaces, introduced recently by Seip. A characterization of Carleson measures is obtained which extends Seip's results from the unit disk of $\mathbb {C}$ to the unit ball of $\mathbb {C}^n$. We use this characterization to give necessary and sufficient conditions for the boundedness and compactness of Toeplitz operators. Finally, we study the Schatten $p$ classes membership of Toeplitz operators for $1<p<\infty $. (English) |
| Keyword:
|
Bergman space |
| Keyword:
|
Carleson measure |
| Keyword:
|
Toeplitz operator |
| Keyword:
|
Schatten classes |
| MSC:
|
30H20 |
| MSC:
|
47B35 |
| idZBL:
|
07332713 |
| idMR:
|
MR4226478 |
| DOI:
|
10.21136/CMJ.2020.0265-19 |
| . |
| Date available:
|
2021-03-12T16:13:25Z |
| Last updated:
|
2023-04-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148736 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
