Continuity of the relative extremal function on analytic varieties in ℂⁿ
Frank Wikström
Annales Polonici Mathematici, Tome 85 (2005), p. 219-225 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

Let V be an analytic variety in a domain Ω ⊂ ℂⁿ and let K ⊂ ⊂ V be a closed subset. By studying Jensen measures for certain classes of plurisubharmonic functions on V, we prove that the relative extremal function ωK is continuous on V if Ω is hyperconvex and K is regular.

Publié le : 2005-01-01
EUDML-ID : urn:eudml:doc:281021 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap86-3-2,
     author = {Frank Wikstr\"om},
     title = {Continuity of the relative extremal function on analytic varieties in Cn},
     journal = {Annales Polonici Mathematici},
     volume = {85},
     year = {2005},
     pages = {219-225},
     zbl = {1092.32018},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap86-3-2}
}

Frank Wikström. Continuity of the relative extremal function on analytic varieties in ℂⁿ. Annales Polonici Mathematici, Tome 85 (2005) pp. 219-225. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap86-3-2/