Analysis Seminar: Weighted and Unweighted estimates for the Bergman projection on planar domains

Abstract: Boundedness of the Bergman projection on simply connected planar domains has a direct connection to weighted estimates on the disk through the domain’s Riemann map. We generalize the weighted theory from the disk to general planar domains, and precisely characterize the range of weighted estimates in terms of the conformal map. We also obtain some partial results for a family of novel weak-type estimates.

Host: Brett Wick