
15/10/2020
13:00
Para informações, consultar site do evento https://sites.google.com/view/athabrazil/home?authuser=0
Palestrante: Carlos Pérez Moreno
Responsável: Guilherme Silva (Este endereço de email está sendo protegido de spambots. Você precisa do JavaScript ativado para vê-lo.)
It is well known the importance of the BMO space of functions with bounded mean oscillation especially due to the famous John-Nirenberg theorem of the early 60's of the last century. This result is the archetypical self-improving result in Analysis. In this talk we will show that there is another self-improving phenomenon attached to this class of functions which roughly gives a way of defining BMO using much weaker conditions than the usual L1 oscillation. These results improved a recent work by Logunov-Slavin-Stolyarov-Vasyunin-Zatitskiy. Our method is more flexible yielding sharp results under rougher geometries.