Pseudoconvex domains in complex Euclidean space with finite-dimensional Bergman spaces

We construct a pseudoconvex domain in ${\mathbb{C}}^2$ such that the Bergman space is one-dimensional. Based on this example, for any integers $n\ge 3,d\ge 1$, we further construct a pseudoconvex domain in ${\mathbb{C}}^n$ such that the Bergman space is $d$-dimensional. This disproves Wiegerinck’s conjecture.