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Perimeter of sets and BMO-type norms |
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| Authors: | Luigi Ambrosio Jean Bourgain Haïm Brezis Alessio Figalli |
| Institution: | 1. Scuola Normale Superiore, Piazza Cavalieri 7, 56100 Pisa, Italy;2. School of Mathematics, Institute for Advanced Study, Princeton, NJ 08540, USA;3. Rutgers University, Department of Mathematics, Hill Center, Busch Campus, 110 Frelinghuysen Road, Piscataway, NJ 08854, USA;4. Technion, Department of Mathematics, Haifa 32000, Israel;5. University of Texas at Austin, Mathematics Dept., 2515 Speedway Stop C1200, Austin, TX 78712-1202, USA |
| Abstract: | The aim of this note is to announce some recent results showing that an isotropic variant of the BMO-type norm introduced in 3] can be related via a precise formula to the perimeter of sets. |
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