$L^p$-theory for Cauchy-transform on the unit disk

David Kalaj, Petar Melentijević, Jian-Feng Zhu

Let $\mathbb{D}$ be the unit disk and $\phi \in L^p(\mathbb{D},\mathrm{d}A)$, where $1\le p\le \infty$. For $z\in \mathbb{D}$, the Cauchy-transform on $\mathbb{D}$, denote by $\mathca…