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arXiv · 1605.08289

Extensions of the Laurent Decomposition and the spaces $A^p(\Omega)$

Nikolaos Georgakopoulos
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Abstract

We generalize the classical Laurent decomposition in the setting of domains $\Omega\subseteq \mathbb C$ bounded by Jordan curves. This leads us to study the Fr\'echet spaces $A^p(\Omega)$, and their relation to the spaces $C^p(\partial \Omega)$. In the final section, we examine the case of a non Jordan domain $\Omega$.

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Nikolaos Georgakopoulos. 2016-05-26. Extensions of the Laurent Decomposition and the spaces $A^p(\Omega)$. https://arxiv.org/abs/1605.08289

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