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.
@article{bwmeta1.element.bwnjournal-article-apmv71z1p87bwm,
author = {Magnus Carlehed and Urban Cegrell and Frank Wikstr\"om},
title = {Jensen measures, hyperconvexity and boundary behaviour of the pluricomplex Green function},
journal = {Annales Polonici Mathematici},
volume = {72},
year = {1999},
pages = {87-103},
zbl = {0955.32034},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv71z1p87bwm}
}
Magnus Carlehed; Urban Cegrell; Frank Wikström. Jensen measures, hyperconvexity and boundary behaviour of the pluricomplex Green function. Annales Polonici Mathematici, Tome 72 (1999) pp. 87-103. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv71z1p87bwm/
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