This week's seminar in Mathematical Modeling and Analysis is given by Jouni Rättyä, University of Eastern Finland
Abstract: In this talk we consider Carleson measures for weighted Bergman spaces starting with classical radial weights and then passing through radial doubling weights to non-radial ones. Recall that the q-Carleson measures for a space X of analytic functions in the unit disc are the non-negative Borel measures \mu that the identity operator from X to L^q_\mu is bounded.