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Holomorphic extendability in $\mathbf C^n$ as a rare phenomenon by Georgakopoulos, Nikolaos is a scholarly article available to read on EtoBox.

What is Holomorphic extendability in $\mathbf C^n$ as a rare phenomenon about?

We consider various notions of holomorphic extendability of complex valued functions defined on subsets of $\mathbf C^n$, including one-sided extendability. We show that in the relevant function spaces, these phenomena of holomorphic extendability are rare in the topological sense, generalizing several results of the article "One sided extendability and $p$-continuous analytic capacities" by E. Bolkas, V. Nestoridis, C. Panagiotis and M. Papadimitrakis, in dimensions $n\ge 2$.

Author

Georgakopoulos, Nikolaos

Published

2016

Language

EN