Function theoretic function spaces

Klaus Gürlebeck, Klaus Habetha and Wolfgang Sprößig
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Klaus Gürlebeck: Bauhaus-Universität Weimar
Klaus Habetha: RWTH Aachen
Wolfgang Sprößig: TU Bergakademie Freiberg

Chapter Chapter 3 in Application of Holomorphic Functions in Two and Higher Dimensions, 2016, pp 75-93 from Springer

Abstract: Abstract In this chapter we consider scales of spaces of holomorphic quaternion-valued functions which are generalizations of complex versions of the Bloch space and Dirichlet space. Firstly, we introduce these spaces over the unit disc in the complex plane. After that we formulate possible generalizations for quaternion-valued holomorphic functions in the unit ball.

Keywords: Holomorphic Function; Unit Ball; Unit Disc; Hardy Space; Bergman Space (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-0964-1_3

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DOI: 10.1007/978-3-0348-0964-1_3

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