Trace inequalities for Carnot-Carathéodory spaces and applications

• Donatella Danielli ^[1] ; Nicola Garofalo ^[3] ; Duy-Minh Nhieu ^[2]
  1. [1] Purdue University

     Purdue University

     Township of Wabash, Estados Unidos

     
  2. [2] Academia Sinica

     Academia Sinica

     Taiwán

     
  3. [3] Università di Padova, Italy

  Mostrar afiliaciones +
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 27, Nº 2, 1998, págs. 195-252
• Idioma: inglés
• Enlaces
  • Texto completo (pdf)
• Resumen

  • Given a distribution belonging to a sub-elliptic Sobolev space with respect to a system of locally Lipschitz vector fields, we study the problem of its membership to sharp trace spaces with respect to a given Borel measure. Various applications to geometric trace inequalities and to optimal regularity theorems for solutions of quasilinear sub-elliptic equations are presented.