On Extremal Problems in Certain New Bergman Type Spaces in Some Bounded Domains in Cn
Based on recent results on boundedness of Bergman projection with positive Bergman kernel in analytic spaces in various types of domains in Cn, we extend our previous sharp results on distances obtained for analytic Bergman type spaces in unit disk to some new Bergman type spaces in Lie ball, bounde...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2014/975434 |
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| _version_ | 1849413237774221312 |
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| author | Romi F. Shamoyan Olivera Mihić |
| author_facet | Romi F. Shamoyan Olivera Mihić |
| author_sort | Romi F. Shamoyan |
| collection | DOAJ |
| description | Based on recent results on boundedness of Bergman projection with positive Bergman kernel in analytic spaces in various types of domains in Cn, we extend our previous sharp results on distances obtained for analytic Bergman type spaces in unit disk to some new Bergman type spaces in Lie ball, bounded symmetric domains of tube type, Siegel domains, and minimal bounded homogeneous domains. |
| format | Article |
| id | doaj-art-6d14641260fb47fba9d0977e4cf22eaf |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-6d14641260fb47fba9d0977e4cf22eaf2025-08-20T03:34:10ZengWileyJournal of Function Spaces2314-88962314-88882014-01-01201410.1155/2014/975434975434On Extremal Problems in Certain New Bergman Type Spaces in Some Bounded Domains in CnRomi F. Shamoyan0Olivera Mihić1Department of Mathematics, Bryansk State Technical University, Bryansk 241050, RussiaFakultet organizacionih nauka, Jove Ilića 154, 11000 Belgrade, SerbiaBased on recent results on boundedness of Bergman projection with positive Bergman kernel in analytic spaces in various types of domains in Cn, we extend our previous sharp results on distances obtained for analytic Bergman type spaces in unit disk to some new Bergman type spaces in Lie ball, bounded symmetric domains of tube type, Siegel domains, and minimal bounded homogeneous domains.http://dx.doi.org/10.1155/2014/975434 |
| spellingShingle | Romi F. Shamoyan Olivera Mihić On Extremal Problems in Certain New Bergman Type Spaces in Some Bounded Domains in Cn Journal of Function Spaces |
| title | On Extremal Problems in Certain New Bergman Type Spaces in Some Bounded Domains in Cn |
| title_full | On Extremal Problems in Certain New Bergman Type Spaces in Some Bounded Domains in Cn |
| title_fullStr | On Extremal Problems in Certain New Bergman Type Spaces in Some Bounded Domains in Cn |
| title_full_unstemmed | On Extremal Problems in Certain New Bergman Type Spaces in Some Bounded Domains in Cn |
| title_short | On Extremal Problems in Certain New Bergman Type Spaces in Some Bounded Domains in Cn |
| title_sort | on extremal problems in certain new bergman type spaces in some bounded domains in cn |
| url | http://dx.doi.org/10.1155/2014/975434 |
| work_keys_str_mv | AT romifshamoyan onextremalproblemsincertainnewbergmantypespacesinsomeboundeddomainsincn AT oliveramihic onextremalproblemsincertainnewbergmantypespacesinsomeboundeddomainsincn |