S. Deterding

collaborators

3 papers

math.CV2025

Geometric conditions for bounded point evaluations in several complex variables

Stephen Deterding

Let $U$ be a bounded domain in $C^{d}$ and let $L_{a}^{p} (U)$ , $1 \leq p < \infty$ , denote the space of functions that are analytic on $U$ and bounded in the $L^{p}$ nor…

math.CV2025

Analytic structure in spaces of Lipschitz functions

Stephen Deterding

Let $U \subseteq C$ be bounded and open. For $0 < I^\pm < 1$ , $A_{I^} \pm (U)$ is the set of functions in the little Lipschitz class with exponent $I^\pm$ that are analytic in a neighbor…

math.CV2024

Approximate Taylor theorem for analytic Lipschitz functions

Stephen Deterding

Let $U$ be a bounded open subset of the complex plane and let $A_{I^} \pm (U)$ denote the set of functions analytic on $U$ that also belong to the little Lipschitz class with Lipschitz ex…