Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2408.02522 |
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Inhaltsangabe:
- Let $U$ be a bounded open subset of the complex plane and let $A_α(U)$ denote the set of functions analytic on $U$ that also belong to the little Lipschitz class with Lipschitz exponent $α$. It is shown that if $A_α(U)$ admits a bounded point derivation at $x \in \partial U$, then there is an approximate Taylor Theorem for $A_α(U)$ at $x$. This extends and generalizes known results concerning bounded point derivations.