Wei Xia

Energy asymptotics of holomorphic functions with application to Calder\'{o}n-Zygmund theory in $\mathbb{C}$

The Calder\'on-Zygmund theory establishes the boundedness of singular integral operators on $L^p$ spaces for $1<p<\infty$, yet it encounters a failure at the endpoint $p = 1$. While radial counterexamples in $\mathbb{R}^n$ are well-documented, Pan-Shao-Wang-Wu \cite{psww2026} has showed that every nonconstant holomorph...