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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Hindawi Limited
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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doaj-7919757dbcd244e29f2a0882d84c62bc2020-11-24T23:58:51ZengHindawi LimitedInternational 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Nina Zorboska |
| spellingShingle |
Nina Zorboska Isometric and Closed-Range Composition Operators between Bloch-Type Spaces International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Nina Zorboska |
| author_sort |
Nina Zorboska |
| title |
Isometric and Closed-Range Composition Operators between Bloch-Type Spaces |
| title_short |
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_sort |
isometric and closed-range composition operators between bloch-type spaces |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2011-01-01 |
| 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. |
| url |
http://dx.doi.org/10.1155/2011/132541 |
| work_keys_str_mv |
AT ninazorboska isometricandclosedrangecompositionoperatorsbetweenblochtypespaces |
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