Scuola Normale Superiore di Pisa



BMO-like seminorms and sets of finite perimeter


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.


The Catalan Mathematical Society invites participants to this first congress of a biannual series focusing on current research topics across several areas of Mathematics.

Plenary talks and thematic sessions have been selected by the Scientific Committee of the SCM. Special thanks are due to the organisers of the thematic sessions and to the local mathematical community as a whole for their support to this congress.


Societat Catalana de Matemàtiques
Institut d'Estudis Catalans
Carrer del Carme, 47
08001 Barcelona

Phone: +34 933 248 583

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