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Non-doubling Ahlfors measures, perimeter measures, and the characterization of the trace spaces of Sobolev functions in Carnot-Carath�eodory spaces / [electronic resource] Donatella Danielli, Nicola Garofalo, Duy-Minh Nhieu.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 857Publication details: Providence, R.I. : American Mathematical Society, c2006.Description: 1 online resource (ix, 119 p.)ISBN:
  • 9781470404611 (online)
Subject(s): Additional physical formats: Non-doubling Ahlfors measures, perimeter measures, and the characterization of the trace spaces of Sobolev functions in Carnot-Carath�eodory spaces /DDC classification:
  • 510 s 515/.2433 22
LOC classification:
  • QA3 .A57 no. 857 QA403
Online resources:
Contents:
1. Introduction 2. Carnot groups 3. The characteristic set 4. $X$-variation, $X$-perimeter and surface measure 5. Geometric estimates from above on CC balls for the perimeter measure 6. Geometric estimates from below on CC balls for the perimeter measure 7. Fine differentiability properties of Sobolev functions 8. Embedding a Sobolev space into a Besov space with respect to an upper Ahlfors measure 9. The extension theorem for a Besov space with respect to a lower Ahlfors measure 10. Traces on the boundary of $(\epsilon , \delta )$ domains 11. The embedding of $B^p_\beta (\Omega , d\mu )$ into $L^q(\Omega , d\mu )$ 12. Returning to Carnot groups 13. The Neumann problem 14. The case of Lipschitz vector fields
Item type: E-BOOKS
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IMSc Library Link to resource Available EBK13310

"July 2006, volume 182, number 857 (first of 4 numbers)."

Includes bibliographical references (p. 111-119).

1. Introduction 2. Carnot groups 3. The characteristic set 4. $X$-variation, $X$-perimeter and surface measure 5. Geometric estimates from above on CC balls for the perimeter measure 6. Geometric estimates from below on CC balls for the perimeter measure 7. Fine differentiability properties of Sobolev functions 8. Embedding a Sobolev space into a Besov space with respect to an upper Ahlfors measure 9. The extension theorem for a Besov space with respect to a lower Ahlfors measure 10. Traces on the boundary of $(\epsilon , \delta )$ domains 11. The embedding of $B^p_\beta (\Omega , d\mu )$ into $L^q(\Omega , d\mu )$ 12. Returning to Carnot groups 13. The Neumann problem 14. The case of Lipschitz vector fields

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

Description based on print version record.

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