Geodesic
The pluricomplex Green function on some regular pseudoconvex domains
Gregor Herbort1
1Fachbereich Mathematik und Naturwissenschaften Bergische Universität Wuppertal D-42097 Wuppertal, Germany
Annales Polonici Mathematici, Tome 110 (2014) no. 3, pp. 209-226
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Let $D$ be a smooth bounded pseudoconvex domain in $\mathbb C^n$ of finite type. We prove an estimate on the pluricomplex Green function $\mathscr G_D(z,w)$ of $D$ that gives quantitative information on how fast the Green function vanishes if the pole $w$ approaches the boundary. Also the Hölder continuity of the Green function is discussed.
DOI : 10.4064/ap110-3-1
Keywords: smooth bounded pseudoconvex domain mathbb finite type prove estimate pluricomplex green function mathscr w gives quantitative information fast green function vanishes pole approaches boundary lder continuity green function discussed

Gregor Herbort  1

1 Fachbereich Mathematik und Naturwissenschaften Bergische Universität Wuppertal D-42097 Wuppertal, Germany 
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Gregor Herbort. The pluricomplex Green function
 on some regular pseudoconvex domains. Annales Polonici Mathematici, Tome 110 (2014) no. 3, pp. 209-226. doi: 10.4064/ap110-3-1

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