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arXiv · 1711.08431

Localized versions of function spaces and generic results

Dimitris Lygkonis·Vassilis Nestoridis
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Abstract

We consider generalizations of classical function spaces by requiring that a holomorphic in $Ω$ function satisfies some property when we approach from $Ω$, not the whole boundary, but only a part of it. These spaces endowed with their natural topology are Fr$é$chet spaces. We prove some generic non-extendability results in such spaces and generic nowhere differentiability on the corresponding part of ${\partialΩ}$.

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Dimitris Lygkonis, Vassilis Nestoridis. 2018-05-18. Localized versions of function spaces and generic results. https://arxiv.org/abs/1711.08431

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