| Title:
|
On some extremal problems in Bergman spaces in weakly pseudoconvex domains (English) |
| Author:
|
Shamoyan, Romi F. |
| Author:
|
Mihić, Olivera R. |
| Language:
|
English |
| Journal:
|
Communications in Mathematics |
| ISSN:
|
1804-1388 |
| Volume:
|
26 |
| Issue:
|
2 |
| Year:
|
2018 |
| Pages:
|
83-97 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We consider and solve extremal problems in various bounded weakly pseudoconvex domains in $\mathbb {C}^{n}$ based on recent results on boundedness of Bergman projection with positive Bergman kernel in Bergman spaces $A_{\alpha }^{p}$ in such type domains. We provide some new sharp theorems for distance function in Bergman spaces in bounded weakly pseudoconvex domains with natural additional condition on Bergman representation formula. (English) |
| Keyword:
|
Bergman spaces |
| Keyword:
|
distance estimates |
| Keyword:
|
pseudoconvex domains |
| Keyword:
|
analytic functions |
| MSC:
|
42B15 |
| MSC:
|
42B30 |
| idZBL:
|
Zbl 07058957 |
| idMR:
|
MR3898195 |
| . |
| Date available:
|
2019-05-07T09:19:03Z |
| Last updated:
|
2020-01-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147652 |
| . |
| Reference:
|
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