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

Issue

Vol. 99 No. 1 (2006)

Section

Articles

How to Cite

[1]
R. Czyz} and P. Åhag, “The connection between the Cegrell classes and compliant functions”, Math. Scand., vol. 99, no. 1, pp. 87–98, Sep. 2006, doi: 10.7146/math.scand.a-15001.