Scuola Normale Superiore di Pisa
Title
BMO-like seminorms and sets of finite perimeter
Abstract
In my lecture I will illustrate a recent work (in collaboration with J. Bourgain, H. Brezis and A. Figalli) on the characterization of the perimeter and of sets of finite perimeter in terms of a BMO‑like seminorm, solving positively a question raised in an earlier and recent work of H. Brezis, J. Bourgain and P. Mironescu. I will more generally compare this with other distributional and non-distributional criteria for the finiteness of perimeter.
