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.
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© 2016 Springer International Publishing, Switzerland
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Gürlebeck, K., Habetha, K., Sprößig, W. (2016). Function theoretic function spaces. In: Application of Holomorphic Functions in Two and Higher Dimensions. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0964-1_3
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DOI: https://doi.org/10.1007/978-3-0348-0964-1_3
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Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-0962-7
Online ISBN: 978-3-0348-0964-1
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