Isometric and Closed-Range Composition Operators between Bloch-Type Spaces

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Date
2011-5-30
Authors
Zorboska, Nina
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Abstract
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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Nina Zorboska, “Isometric and Closed-Range Composition Operators between Bloch-Type Spaces,” International Journal of Mathematics and Mathematical Sciences, vol. 2011, Article ID 132541, 15 pages, 2011. doi:10.1155/2011/132541