Jensen measures, hyperconvexity and boundary behaviour of the pluricomplex Green function
Volume 71 / 1999
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.
