Lipschitz surfaces, perimeter and trace theorems for BV functions in Carnot-Carathéodory spaces

• Davide Vittone ^[1]
  1. [1] Università di Padova, Italia
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 11, Nº 4, 2012, págs. 939-998
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • WeintroduceintrinsicLipschitzhypersurfacesinCarnot-Carath´ eodory spaces and prove that intrinsic Lipschitz domains have locally finite perimeter. We also show the existence of a boundary trace operator for functions with bounded variation on Lipschitz domains and obtain extension results for such functions. In particular, we characterize their trace space.