Event Series
Event Type
Tuesday, February 13, 2024 4:00 PM
Alexander Volberg (Michigan State University)


Metric properties of harmonic measure is a perennial topic having much attention in the 80’ after works of Makarov, Jones, Wolff, Bourgain. However, certain questions of Peter Jones and Chris Bishop were left unsolved. Some of them concern free boundary problems for 1, 2, 3 harmonic measures. I will show how they were recently solved using non-homogeneous harmonic analysis. The talk is based on works joint withAzzam, Mourgoglou, Tolsa.