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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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |