On the Cauchy transform of the Bergman space

Анотація

The range of the Bergman space $B_2(G)$ under the Cauchy transform $K$ is described for a large class of domain. For a quasidisk $G$ the relation $K(B^*_2(G))=B^1_2(\mathbb{C}\backslash \overline{G})$ is proved.