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101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aNon-doubling Ahlfors measures, perimeter measures, and the characterization of the trace spaces of Sobolev functions in Carnot-Carathe?odory spaces /$fDonatella Danielli, Nicola Garofalo, Duy-Minh Nhieu
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2006]
210  4$d©2006
215   $a1 online resource (138 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 857
300   $a"July 2006, volume 182, number 857 (first of 4 numbers)."
311   $a0-8218-3911-X 
320   $aIncludes bibliographical references (pages 111-119).
327   $a""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""
327   $a""10.2. Characterization of the traces on the boundary""""Chapter 11. The embedding of B[sup(p)][sub(I?²)](I?©, dI??) into L[sup(q)](I?©, dI??)""; ""Chapter 12. Returning to Carnot groups""; ""Chapter 13. The Neumann problem""; ""Chapter 14. The case of Lipschitz vector fields""; ""Bibliography""
410  0$aMemoirs of the American Mathematical Society ;$vno. 857.
606   $aHarmonic analysis
606   $aHomogeneous spaces
606   $aSobolev spaces
606   $aMeasure theory
606   $aDifferential equations, Partial
608   $aElectronic books.
615  0$aHarmonic analysis.
615  0$aHomogeneous spaces.
615  0$aSobolev spaces.
615  0$aMeasure theory.
615  0$aDifferential equations, Partial.
676   $a510 s
676   $a515/.2433
700   $aDanielli$b Donatella$f1966-$0502357
702   $aGarofalo$b Nicola
702   $aNhieu$b Duy-Minh$f1966-
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910480091603321
996   $aNon-doubling Ahlfors measures, perimeter measures, and the characterization of the trace spaces of Sobolev functions in Carnot-Carathe?odory spaces$92061317
997   $aUNINA