On the dimension of the Bergman space of some Hartogs domains with higher dimensional bases
The investigation of the dimension of Bergman spaces is an active problem. There are examples of non-pseudoconex domains for which the corresponding Bergman spaces are finite dimensional. In this paper, the author uses Hörmander's \(L^2\) solution to \(\overline{\partial}\) techniques to give sufficient conditions for infinite dimensionality and triviality of certain Hartogs domains.
scientific article; zbMATH DE number 7388774
scientific article