Jensen measures, hyperconvexity and boundary behaviour of the pluricomplex Green function

Volume 71 / 1999

Magnus Carlehed, Urban Cegrell, Frank Wikström Annales Polonici Mathematici 71 (1999), 87-103 DOI: 10.4064/ap-71-1-87-103

Abstract

We characterise hyperconvexity in terms of Jensen measures with barycentre at a boundary point. We also give an explicit formula for the pluricomplex Green function in the Hartogs triangle. Finally, we study the behaviour of the pluricomplex Green function g(z,w) as the pole w tends to a boundary point.

Authors

  • Magnus Carlehed
  • Urban Cegrell
  • Frank Wikström

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