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 
@article{10_4064_ap_71_1_87_103,
     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},
     pages = {87--103},
     publisher = {mathdoc},
     volume = {71},
     number = {1},
     year = {1999},
     doi = {10.4064/ap-71-1-87-103},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-71-1-87-103/}
}
TY  - JOUR
AU  - Magnus Carlehed
AU  - Urban Cegrell
AU  - Frank Wikström
TI  - Jensen measures, hyperconvexity and boundary behaviour of the pluricomplex Green function
JO  - Annales Polonici Mathematici
PY  - 1999
SP  - 87
EP  - 103
VL  - 71
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap-71-1-87-103/
DO  - 10.4064/ap-71-1-87-103
LA  - en
ID  - 10_4064_ap_71_1_87_103
ER  - 
%0 Journal Article
%A Magnus Carlehed
%A Urban Cegrell
%A Frank Wikström
%T Jensen measures, hyperconvexity and boundary behaviour of the pluricomplex Green function
%J Annales Polonici Mathematici
%D 1999
%P 87-103
%V 71
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap-71-1-87-103/
%R 10.4064/ap-71-1-87-103
%G en
%F 10_4064_ap_71_1_87_103
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. http://geodesic.mathdoc.fr/articles/10.4064/ap-71-1-87-103/

Cité par Sources :