03141nam 2200661 450 991078874240332120180731045131.01-4704-0461-3(CKB)3360000000465041(EBL)3114232(SSID)ssj0000889097(PQKBManifestationID)11497169(PQKBTitleCode)TC0000889097(PQKBWorkID)10881941(PQKB)11679267(MiAaPQ)EBC3114232(RPAM)14306727(PPN)195417453(EXLCZ)99336000000046504120060320h20062006 uy| 0engur|n|---|||||txtccrNon-doubling Ahlfors measures, perimeter measures, and the characterization of the trace spaces of Sobolev functions in Carnot-Carathéodory spaces /Donatella Danielli, Nicola Garofalo, Duy-Minh NhieuProvidence, Rhode Island :American Mathematical Society,[2006]©20061 online resource (138 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 857"July 2006, volume 182, number 857 (first of 4 numbers)."0-8218-3911-X Includes bibliographical references (pages 111-119).""Chapter 4. X-variation, X-perimeter and surface measure""""4.1. The structure of functions in BV[sub(X,loc)]""; ""4.2. X-Caccioppoli sets""; ""4.3. X-perimeter and the perimeter measure""; ""Chapter 5. Geometric estimates from above on CC balls for the perimeter measure""; ""5.1. A fundamental estimate""; ""5.2. The X-perimeter of a C[sup(1,1)] domain is an upper 1-Ahlfors measure""; ""Chapter 6. Geometric estimates from below on CC balls for the perimeter measure""; ""6.1. The relative isoperimetric inequality and Theorem 6.1""; ""6.2. A basic geometric lemma""""10.2. Characterization of the traces on the boundary""""Chapter 11. The embedding of B[sup(p)][sub(Î²)](Î©, dÎ?) into L[sup(q)](Î©, dÎ?)""; ""Chapter 12. Returning to Carnot groups""; ""Chapter 13. The Neumann problem""; ""Chapter 14. The case of Lipschitz vector fields""; ""Bibliography""Memoirs of the American Mathematical Society ;no. 857.Harmonic analysisHomogeneous spacesSobolev spacesMeasure theoryDifferential equations, PartialHarmonic analysis.Homogeneous spaces.Sobolev spaces.Measure theory.Differential equations, Partial.510 s515/.2433Danielli Donatella1966-502357Garofalo NicolaNhieu Duy-Minh1966-MiAaPQMiAaPQMiAaPQBOOK9910788742403321Non-doubling Ahlfors measures, perimeter measures, and the characterization of the trace spaces of Sobolev functions in Carnot-Carathéodory spaces3838125UNINA