Analysis Seminar on "Nonhomogeneous dyadic analysis: Calderón-Zygmund theory and the one-third trick" by Jose Conde Alonso (Brown University)
Title: Nonhomogeneous dyadic analysis: Calderón-Zygmund theory and the one-third trick.
Abstract: Nonhomogeneous Harmonic Analysis was initiated in the 90’s by Nazarov-Treil-Volberg and Tolsa among others. Their proofs necessarily deviated from ones known for the Lebesgue measure case, and many times required the introduction of new and complicated geometric arguments. In this talk, we will show a new way of looking at Calderón-Zygmund theory in the nondoubling setting from a point of view which is closer to the original one, where (finitely many) martingale filtrations are in the center. In particular, we will construct the right dyadic BMO space associated with a nondoubling measure and we will give a version of the one third trick in this setting. As in the classical setting, we shall show that the intersection of finitely many copies of dyadic BMO gives back the expected BMO space.
Partly based on joint work with Javier Parcet.
Contact Name: Maria Cristina Pereyra
Contact Phone: (505) 307-9629
Contact Email: email@example.com