### Regularity of Solutions to Extremal Problems in Bergman Spaces

- Series
- Analysis Seminar
- Time
- Wednesday, February 16, 2011 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Tim Ferguson – University of Michigan

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.