Compactness of operators on the Bergman space of the Thullen domain

Zhenghui Huo, Brett D. Wick

We study compact operators on the Bergman space of the Thullen domain defined by $\{(z_1,z_2)\in {\mathbb{C}}^2:|z_1{|}^{2p}+|z_2{|}^2<1\}$ with $p>0$ and $p\ne 1$. The domain need not…