The connection between the Cegrell classes and compliant functions

Authors

  • Rafal Czyz}
  • Per Åhag

DOI:

https://doi.org/10.7146/math.scand.a-15001

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.

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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

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Section

Articles