The Connection between the Cegrell classes and compliant functions

• Autores: Rafal Czyz, Per Ahag
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 99, Nº 1, 2006, págs. 87-98
• Idioma: inglés
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• Resumen

  • In this article the connection between the Cegrell classes and compliant functions is studied. A suitable norm is constructed which makes the compliant functions into a Banach space. As an application a characterization of the Dirichlet problem for pluriharmonic functions is achieved. Explicit examples of non-compliant functions will be constructed and a sufficient condition for compliance will be proved.