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Generalized Bloch Mappings in Complex Hilbert Space
Published online by Cambridge University Press: 20 November 2018
Abstract
Anderson, Clunie and Pommerenke defined and studied the family of Bloch functions on the unit disc (see [1]). This family strictly contains the space of bounded analytic functions. However, all Bloch functions are normal and therefore enjoy the “nice” properties of normal functions. The importance of the Bloch function concept is the combination of their richness as a family and their “nice” behavior.
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- Copyright © Canadian Mathematical Society 1977
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