The connection between the Cegrell classes and compliant functions

  • Rafal Czyz}
  • Per Åhag

Abstract

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.
Published
2006-09-01
How to Cite
Czyz}, R., & Åhag, P. (2006). The connection between the Cegrell classes and compliant functions. MATHEMATICA SCANDINAVICA, 99(1), 87-98. https://doi.org/10.7146/math.scand.a-15001
Section
Articles