3 problems

Let $\Omega$ be a normal Stein space with a compact, smooth, strongly pseudoconvex boundary. Let $\Omega{\operatorname{Reg}}$ denote its regular part, and let the Bergman metric be…

Let $M$ be a Stein manifold of complex dimension at least two, and let $A^2(M)$ be its Bergman space. Assume that $A^2(M)$ is base-point free and separates holomorphic directions.…

Let $M$ be a Stein manifold. Let $A^2(M)$ be its Bergman space, assumed to be base-point free, meaning that its sections do not vanish simultaneously at any point, and to separate…