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Generalized Bloch Mappings in Complex Hilbert Space

Published online by Cambridge University Press:  20 November 2018

Fletcher D. Wicker
Fletcher D. Wicker*
Affiliation:
2806 Brant Street, San Diego, California
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Abstract

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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.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 29 , Issue 2 , 01 April 1977 , pp. 299 - 306
Copyright
Copyright © Canadian Mathematical Society 1977

References

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