| Title:
|
On Volterra composition operators from Bergman-type space to Bloch-type space (English) |
| Author:
|
Jiang, Zhi Jie |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
61 |
| Issue:
|
4 |
| Year:
|
2011 |
| Pages:
|
993-1005 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $\varphi $ be an analytic self-mapping of $\mathbb {D}$ and $g$ an analytic function on $\mathbb {D}$. In this paper we characterize the bounded and compact Volterra composition operators from the Bergman-type space to the Bloch-type space. We also obtain an asymptotical expression of the essential norm of these operators in terms of the symbols $g$ and $\varphi $. (English) |
| Keyword:
|
Bergman-type space |
| Keyword:
|
Volterra composition operator |
| Keyword:
|
Bloch-type space |
| Keyword:
|
little Bloch-type space |
| Keyword:
|
essential norm |
| MSC:
|
30H20 |
| MSC:
|
30H30 |
| MSC:
|
47B33 |
| MSC:
|
47B37 |
| MSC:
|
47B38 |
| idZBL:
|
Zbl 1245.47009 |
| idMR:
|
MR2886251 |
| DOI:
|
10.1007/s10587-011-0042-x |
| . |
| Date available:
|
2011-12-16T15:42:02Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141801 |
| . |
| 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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| . |
