Isometric and Closed-Range Composition Operators between Bloch-Type Spaces
We present an overview of the known results describing the isometric and closed-range composition operators on different types of holomorphic function spaces. We add new results and give a complete characterization of the isometric univalently induced composition operators acting between Bloch-type...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2011/132541 |
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| _version_ | 1832554295702061056 |
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| author | Nina Zorboska |
| author_facet | Nina Zorboska |
| author_sort | Nina Zorboska |
| collection | DOAJ |
| description | We present an overview of the known results describing the isometric and
closed-range composition operators on different types of holomorphic function spaces.
We add new results and give a complete characterization of the isometric univalently
induced composition operators acting between Bloch-type spaces. We also add few
results on the closed-range determination of composition operators on Bloch-type spaces
and present the problems that are still open. |
| format | Article |
| id | doaj-art-7919757dbcd244e29f2a0882d84c62bc |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-7919757dbcd244e29f2a0882d84c62bc2025-02-03T05:51:53ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252011-01-01201110.1155/2011/132541132541Isometric and Closed-Range Composition Operators between Bloch-Type SpacesNina Zorboska0Department of Mathematics, University of Manitoba, Winnipeg, MB, R3T 2N2, CanadaWe present an overview of the known results describing the isometric and closed-range composition operators on different types of holomorphic function spaces. We add new results and give a complete characterization of the isometric univalently induced composition operators acting between Bloch-type spaces. We also add few results on the closed-range determination of composition operators on Bloch-type spaces and present the problems that are still open.http://dx.doi.org/10.1155/2011/132541 |
| spellingShingle | Nina Zorboska Isometric and Closed-Range Composition Operators between Bloch-Type Spaces International Journal of Mathematics and Mathematical Sciences |
| title | Isometric and Closed-Range Composition Operators between Bloch-Type Spaces |
| title_full | Isometric and Closed-Range Composition Operators between Bloch-Type Spaces |
| title_fullStr | Isometric and Closed-Range Composition Operators between Bloch-Type Spaces |
| title_full_unstemmed | Isometric and Closed-Range Composition Operators between Bloch-Type Spaces |
| title_short | Isometric and Closed-Range Composition Operators between Bloch-Type Spaces |
| title_sort | isometric and closed range composition operators between bloch type spaces |
| url | http://dx.doi.org/10.1155/2011/132541 |
| work_keys_str_mv | AT ninazorboska isometricandclosedrangecompositionoperatorsbetweenblochtypespaces |