Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4619000 | Journal of Mathematical Analysis and Applications | 2010 | 6 Pages |
Abstract
Let B be the open unit ball of a complex Banach space X and let B be homogeneous. We prove distortion results for normalized convex mappings f:B→X which generalize various finite dimensional distortion theorems and improve some infinite dimensional ones. In particular, our results are valid for the open unit balls of complex Hilbert spaces and the Cartan domains.
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