A note on traces of some holomorphic spaces on polyballs
We study a new trace problem for functions holomorphic on polyballs which generalize a known diagonal map problem for polydisk. Also, we give descriptions of traces for several concrete functional classes on polyballs defined with the help of area operator or Bergman metric ball.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2010/784896 |
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| _version_ | 1832564217868189696 |
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| author | Romi F. Shamoyan Olivera R. Mihic |
| author_facet | Romi F. Shamoyan Olivera R. Mihic |
| author_sort | Romi F. Shamoyan |
| collection | DOAJ |
| description | We study a new trace problem for functions holomorphic on polyballs which generalize a known diagonal map problem for polydisk. Also, we give descriptions of traces for several concrete functional classes on polyballs defined with the help of area operator or Bergman metric ball. |
| format | Article |
| id | doaj-art-b3f9bb810253482babe87ec58aedfe41 |
| institution | Kabale University |
| issn | 0972-6802 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-b3f9bb810253482babe87ec58aedfe412025-02-03T01:11:37ZengWileyJournal of Function Spaces and Applications0972-68022010-01-018327128510.1155/2010/784896A note on traces of some holomorphic spaces on polyballsRomi F. Shamoyan0Olivera R. Mihic1Bryansk University, Bryansk, RussiaFakultet organizacionih nauka, Jove Ilića 154, Belgrade, SerbiaWe study a new trace problem for functions holomorphic on polyballs which generalize a known diagonal map problem for polydisk. Also, we give descriptions of traces for several concrete functional classes on polyballs defined with the help of area operator or Bergman metric ball.http://dx.doi.org/10.1155/2010/784896 |
| spellingShingle | Romi F. Shamoyan Olivera R. Mihic A note on traces of some holomorphic spaces on polyballs Journal of Function Spaces and Applications |
| title | A note on traces of some holomorphic spaces on polyballs |
| title_full | A note on traces of some holomorphic spaces on polyballs |
| title_fullStr | A note on traces of some holomorphic spaces on polyballs |
| title_full_unstemmed | A note on traces of some holomorphic spaces on polyballs |
| title_short | A note on traces of some holomorphic spaces on polyballs |
| title_sort | note on traces of some holomorphic spaces on polyballs |
| url | http://dx.doi.org/10.1155/2010/784896 |
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