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 $g : S^N \to S^N$.