Volterra composition operators from generalized weighted weighted Bergman spaces to µ-Bloch spaces
Let φ be a holomorphic self-map and g be a fixed holomorphic function on the unit ball B. The boundedness and compactness of the operator Tg,φf(z)=∫01f(φ(tz))ℜg(tz)dtt from the generalized weighted Bergman space into the µ-Bloch space are studied in this paper.
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| Format: | Article |
| Language: | English |
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Wiley
2009-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2009/179381 |
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| _version_ | 1832566826009100288 |
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| author | Xiangling Zhu |
| author_facet | Xiangling Zhu |
| author_sort | Xiangling Zhu |
| collection | DOAJ |
| description | Let φ be a holomorphic self-map and g be a fixed holomorphic
function on the unit ball B. The boundedness and compactness of the operator Tg,φf(z)=∫01f(φ(tz))ℜg(tz)dtt from the generalized weighted Bergman space into the µ-Bloch space are studied
in this paper. |
| format | Article |
| id | doaj-art-724ec08a2b9d40be82e1345208ba33cc |
| institution | Kabale University |
| issn | 0972-6802 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-724ec08a2b9d40be82e1345208ba33cc2025-02-03T01:02:59ZengWileyJournal of Function Spaces and Applications0972-68022009-01-017322524010.1155/2009/179381Volterra composition operators from generalized weighted weighted Bergman spaces to µ-Bloch spacesXiangling Zhu0Department of Mathematics, JiaYing University, 514015, Meizhou, GuangDong, ChinaLet φ be a holomorphic self-map and g be a fixed holomorphic function on the unit ball B. The boundedness and compactness of the operator Tg,φf(z)=∫01f(φ(tz))ℜg(tz)dtt from the generalized weighted Bergman space into the µ-Bloch space are studied in this paper.http://dx.doi.org/10.1155/2009/179381 |
| spellingShingle | Xiangling Zhu Volterra composition operators from generalized weighted weighted Bergman spaces to µ-Bloch spaces Journal of Function Spaces and Applications |
| title | Volterra composition operators from generalized weighted weighted Bergman spaces to µ-Bloch spaces |
| title_full | Volterra composition operators from generalized weighted weighted Bergman spaces to µ-Bloch spaces |
| title_fullStr | Volterra composition operators from generalized weighted weighted Bergman spaces to µ-Bloch spaces |
| title_full_unstemmed | Volterra composition operators from generalized weighted weighted Bergman spaces to µ-Bloch spaces |
| title_short | Volterra composition operators from generalized weighted weighted Bergman spaces to µ-Bloch spaces |
| title_sort | volterra composition operators from generalized weighted weighted bergman spaces to µ bloch spaces |
| url | http://dx.doi.org/10.1155/2009/179381 |
| work_keys_str_mv | AT xianglingzhu volterracompositionoperatorsfromgeneralizedweightedweightedbergmanspacestoμblochspaces |