Focused Lecture Series #9: De Branges-Rovynak spaces and their connections with sub-Hardy and sub-Bergman spaces
ABSTRACT
De Branges-Rovynak spaces played an important role in the solution of Bieberbach conjecture by de Branges. They now find applications in function theory, operator theory and system theory. The aim of these lectures is to lay a solid function on these spaces and bring the audience to the frontier work of active research in several directions, for example, the more recent work of high order De Branges-Rovynak spaces, sub-Bergman spaces, to further develop the operator theory on these spaces.