Lecture Details
Name: John McCarthy (Washington University in St Louis)Speaking: Fri 10th May 15:30 - 15:55Title: What is the $H^p$ scale for a reproducing kernel Hilbert space?Abstract: Many Hilbert spaces, like $L^2$, the Hardy space, or the Bergman space, appear in a natural scale of Banach spaces (the $L^p$ spaces, the $H^p$ spaces, etc) But what if the norm is not defined as an $L^2$ norm, such as the Drury-Arveson space or the Dirichlet space? We will discuss how to make a scale that is analogous to the Hardy scale, provided the original Hilbert space has some extra properties (specifically, it is a complete Pick space with the Column Row property).
The talk is based on joint work with A. Aleman, M. Hartz and S. Richter.