Maximal operators associated with generalized Hermite polynomial and function expansions

• L. Forzani ^[1] ; E. Sasso ^[2] ; R. Scotto ^[1]
  1. [1] Universidad Nacional del Litoral

     Universidad Nacional del Litoral

     Argentina

     
  2. [2] Università di Genova, Italia
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 54, Nº. 1, 2013, págs. 83-107
• Idioma: inglés
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• Resumen

  • We study the weak and strong type boundedness of maximal heat–diffusion operators associated with the system of generalized Hermite polynomials and with two different systems of generalized Hermite functions. We also give a necessary background to define Sobolev spaces in this context.