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