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Record Nr. |
UNINA9910480091603321 |
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Autore |
Danielli Donatella <1966-> |
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Titolo |
Non-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 Nhieu |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [2006] |
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©2006 |
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ISBN |
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Descrizione fisica |
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1 online resource (138 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 857 |
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Disciplina |
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Soggetti |
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Harmonic analysis |
Homogeneous spaces |
Sobolev spaces |
Measure theory |
Differential equations, Partial |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"July 2006, volume 182, number 857 (first of 4 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references (pages 111-119). |
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Nota di contenuto |
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""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(β)](Ω, dÎ?) into L[sup(q)](Ω, dÎ?)""; ""Chapter 12. Returning to Carnot groups""; ""Chapter 13. The Neumann problem""; ""Chapter 14. The case of Lipschitz vector fields""; |
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