Geodesic
Jensen measures, hyperconvexity and boundary behaviour of the pluricomplex Green function
Annales Polonici Mathematici, Tome 71 (1999) no. 1, pp. 87-103

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ap-71-1-87-103
Keywords: hyperconvexity, Jensen measures, Reinhardt domains, Hartogs' triangle, pluricomplex Green function

Magnus Carlehed 1 ; Urban Cegrell 1 ; Frank Wikström 1

1 
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Magnus Carlehed; Urban Cegrell; Frank Wikström. Jensen measures, hyperconvexity and boundary behaviour of the pluricomplex Green function. Annales Polonici Mathematici, Tome 71 (1999) no. 1, pp. 87-103. doi: 10.4064/ap-71-1-87-103

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