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arXiv · 2309.12187

Bounded point derivations on Campanato spaces

Evan Abshire·Stephen Deterding
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Abstract

Let $X$ be a compact subset of the complex plane and $x \in X$. A necessary and sufficient condition is given in terms of Hausdorff contents for the existence of a bounded point derivation at $x$ on the space of vanishing Campanato functions that are analytic in a neighborhood of $X$. This generalizes many known conditions for the existence of bounded point derivations on other function spaces.

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Evan Abshire, Stephen Deterding. 2023-09-21. Bounded point derivations on Campanato spaces. https://arxiv.org/abs/2309.12187

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