| Title:
|
On some inequalities in holomorphic function theory in polydisk related to diagonal mapping (English) |
| Author:
|
Shamoyan, Romi F. |
| Author:
|
Mihić, Olivera R. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
60 |
| Issue:
|
2 |
| Year:
|
2010 |
| Pages:
|
351-370 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We present a description of the diagonal of several spaces in the polydisk. We also generalize some previously known contentions and obtain some new assertions on the diagonal map using maximal functions and vector valued embedding theorems, and integral representations based on finite Blaschke products. All our results were previously known in the unit disk. (English) |
| Keyword:
|
polydisk |
| Keyword:
|
diagonal mapping |
| Keyword:
|
Hardy classes |
| Keyword:
|
holomorphic spaces |
| MSC:
|
32A18 |
| idZBL:
|
Zbl 1224.32004 |
| idMR:
|
MR2657954 |
| . |
| Date available:
|
2010-07-20T16:43:21Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140574 |
| . |
| 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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| . |
