| Title:
|
Holomorphic Bloch spaces on the unit ball in $C^n$ (English) |
| Author:
|
Harutyunyan, A. V. |
| Author:
|
Lusky, W. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
50 |
| Issue:
|
4 |
| Year:
|
2009 |
| Pages:
|
549-562 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This work is an introduction to anisotropic spaces of holomorphic functions, which have $\omega$-weight and are generalizations of Bloch spaces on a unit ball. We describe the holomorphic Bloch space in terms of the corresponding $L_\omega ^\infty $ space. We establish a description of $(A^p(\omega ))^*$ via the Bloch classes for all $0<p\leq 1$. (English) |
| Keyword:
|
weighted Bloch spaces |
| Keyword:
|
projection |
| Keyword:
|
inverse mapping |
| Keyword:
|
dual space |
| MSC:
|
32A18 |
| MSC:
|
46E15 |
| idZBL:
|
Zbl 1212.32005 |
| idMR:
|
MR2583132 |
| . |
| Date available:
|
2009-12-22T09:56:41Z |
| Last updated:
|
2013-09-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/137445 |
| . |
| 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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| . |
