A New Characterization of Sobolev Spaces

MEMBERS SEMINAR
Topic:A New Characterization of Sobolev Spaces
Speaker:Augusto Ponce
Affiliation:IAS
Date:Tuesday, February 22
Time/Room:3:00pm - 4:00pm/S-101

This talk is motivated by some recent work of Bourgain- rezis-Mironescu. A few years ago, they introduced an elementary way of defining the Sobolev spaces $W^{1,p}$ without making any use of derivatives. I will present their definition and some applications. I will conclude with some new estimates they have proved for the topological degree of maps $g : S^N \to S^N$.