Homogeneous Besov Spaces associated with the spherical mean operator

• L.T Rachdi ^[1] ; A Rouz ^[1]
  1. [1] Faculty of Sciences of Tunis Department of Mathematics
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 13, Nº. 2, 2011, págs. 1-35
• Idioma: inglés
• DOI: 10.4067/S0719-06462011000200001
• Enlaces
  • Texto completo
• Resumen
  • español

    Definimos y estudiamos los espacios homogneos Besov asociados con el operador esférico medio. Se establecen algunos resultados de la exhaustividad, de inclusiones continuas y de la densidad de subespacios. A continuación, se define una norma equivalente discreta en este espacio y se dan otras propiedades.

  • English

    We define and study homogeneous Besov spaces associated with the spherical mean operator. We establish some results of completeness, continuous embeddings and density of subspaces. Next, we define a discrete equivalent norm on this space and we give other properties.

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