## Regularity of Solutions to Extremal Problems in Bergman Spaces

Series
Analysis Seminar
Time
Wednesday, February 16, 2011 - 2:00pm for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Tim Ferguson – University of Michigan
Organizer
Michael Lacey
I will discuss linear extremal problems in the Bergman spaces $A^p$ ofthe unit disc and a theorem of Ryabykh about regularity of thesolutions to these problems. I will also discuss extensions I havefound of Ryabykh's theorem in the case where $p$ is an even integer.The proofs of these extensions involve Littlewood-Paley theory and abasic characterization of extremal functions.