Distance-Weighted Norm Equivalences for Analytic Functions on John Domains

Katsuhiko Matsuzaki, Huaying Wei

Let $\Omega \subset \mathbb{C}$ be a bounded John domain and set $\delta (z)=\text{dist}(z,\partial \Omega )$. For $1<p<\infty$ and $\alpha >{\text{dim}}_A(\partial \Omega )-2$, we establish a norm equivalence betwee…