Dimension results on generalized Bergman spaces

Abstract: Wiegerinck proved that the Bergman space over any domain in the complex plane is either trivial or infinite dimensional. In this talk I will discuss various generalizations and open questions related to this theorem. I will survey the case of the complex plane being replaced by C^n as well as a domain in a compact Riemann Surface.

The talked is based in joint work with A-K. Gallagher and P. Gupta.

complex variables

Audience: researchers in the topic

CAvid: Complex Analysis video seminar

Series comments: Please e-mail R.Halburd@ucl.ac.uk for the Zoom link. Also, please let me know whether you would like to be added to the mailing list to automatically receive links for future talks in CAvid.