S. Deterding

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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 $0 < α < 1$ , $A_{α} (U)$ is the set of functions in the little Lipschitz class with exponent $α$ that are analytic in a neighborhoo…

math.CV2019

Bounded point derivations and functions of bounded mean oscillation

Stephen Deterding

Let $X$ be a subset of the complex plane and let $A_{0} (X)$ denote the space of VMO functions that are analytic on $X$ . $A_{0} (X)$ is said to admit a bounded point derivation of order…