The pluricomplex Green function on some regular pseudoconvex domains
Gregor Herbort
Annales Polonici Mathematici, Tome 111 (2014), p. 209-226 / Harvested from The Polish Digital Mathematics Library
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Let D be a smooth bounded pseudoconvex domain in ℂⁿ of finite type. We prove an estimate on the pluricomplex Green function 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.

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:280887 
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     title = {The pluricomplex Green function on some regular pseudoconvex domains},
     journal = {Annales Polonici Mathematici},
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     year = {2014},
     pages = {209-226},
     zbl = {1300.32031},
     language = {en},
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Gregor Herbort. The pluricomplex Green function on some regular pseudoconvex domains. Annales Polonici Mathematici, Tome 111 (2014) pp. 209-226. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap110-3-1/