Article ID Journal Published Year Pages File Type
4619000 Journal of Mathematical Analysis and Applications 2010 6 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis