Hölder conditions and $τ$-spikes for analytic Lipschitz functions
Stephen Deterding · arXiv (Cornell University) · 2020
Let $U$ be an open subset of $\mathbb{C}$ with boundary point $x_0$ and let $A_α(U)$ be the space of functions analytic on $U$ that belong to lip$α(U)$, the "little Lipschitz class". We consider the condition $S= \displaystyle \sum_{n=1}^{\infty}2^{(t+λ+1)n}M_*^{1+α}(A_n \setminus U)< \infty,$ where $t$ is a non-negative integer, $0