Unique continuation in abstract pseudoconcave CR manifolds

• Laura De Carli ^[2] ; Mauro Nacinovich ^[1]
  1. [1] University of Pisa

     University of Pisa

     Pisa, Italia

     
  2. [2] Università di Napoli, Italia
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 27, Nº 1, 1998, págs. 27-46
• Idioma: inglés
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• Resumen

  • We prove a Carleman-type estimate for the aM-operator on functions on an abstract pseudoconcave C R manifold of arbitrary C R codimension. From this we deduce a weak unique continuation theorem for functions satisfying a differential inequality related to the tangential Cauchy-Riemann system. This implies the weak unique continuation for C R functions, as well as for C R sections of a C R line bundle.