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Extension of bounded vector-valued functions

✍ Scribed by Leonhard Frerick; Enrique Jordá; Jochen Wengenroth

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
130 KB
Volume
282
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

In this paper we consider extensions of bounded vector‐valued holomorphic (or harmonic or pluriharmonic) functions defined on subsets of an open set Ω ⊂ ℝ^N^ . The results are based on the description of vector‐valued functions as operators. As an application we prove a vector‐valued version of Blaschke's theorem (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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