Global Lp estimates for degenerate Ornstein-Uhlenbeck operators: a general approach

• Ermanno Lanconelli ^[1]
  1. [1] University of Bologna

     University of Bologna

     Bolonia, Italia

     
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 52, Nº. 1, 2011, págs. 57-72
• Idioma: inglés
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• Resumen

  • We present a new approach to prove global Lp estimates for degenerate Ornstein-Uhlenbeck operators in RN. We then show how to pave the way to extend such a technique to classes of general Hörmander operators. Several historical notes related to Calderón-Zygmund’s singular integrals theory in Euclidean and in non-Euclidean settings are also provided.