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Gaffney–Friedrichs inequality for differential forms on Heisenberg groups

    1. [1] University of Bologna

      University of Bologna

      Bolonia, Italia

    2. [2] University of Padua

      University of Padua

      Padova, Italia

  • Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 35, Nº 3, 2019, págs. 643-692
  • Idioma: inglés
  • Texto completo no disponible (Saber más ...)
  • Resumen
    • In this paper, we will prove several generalized versions, dependent on different boundary conditions, of the classical Gaffney–Friedrichs inequality for differential forms on Heisenberg groups. In the first part of the paper, we will consider horizontal differential forms and the horizontal differential. In the second part, we shall prove the counterpart of these results in the context of Rumin’s complex.


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