Geodesic
Continuity of the relative extremal function on analytic varieties in $\Bbb{C}^n$
Frank Wikström 1
1 Department of Mathematics University of Michigan Ann Arbor, MI 48109-1043, U.S.A. and Department of Mathematics Mid Sweden University 851 70 Sundsvall, Sweden
Annales Polonici Mathematici, Tome 86 (2005) no. 3, pp. 219-225 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Let $V$ be an analytic variety in a domain $\mit\Omega \subset \Bbb {C}^n$ and let $K \subset\!\subset V$ be a closed subset. By studying Jensen measures for certain classes of plurisubharmonic functions on $V$, we prove that the relative extremal function $\omega_K$ is continuous on $V$ if $\mit\Omega$ is hyperconvex and $K$ is regular.
DOI : 10.4064/ap86-3-2
Keywords: analytic variety domain mit omega subset bbb subset subset closed subset studying jensen measures certain classes plurisubharmonic functions prove relative extremal function omega continuous mit omega hyperconvex regular

Frank Wikström  1

1 Department of Mathematics University of Michigan Ann Arbor, MI 48109-1043, U.S.A. and Department of Mathematics Mid Sweden University 851 70 Sundsvall, Sweden 
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Frank Wikström. Continuity of the relative extremal function on analytic
  varieties in $\Bbb{C}^n$. Annales Polonici Mathematici, Tome 86 (2005) no. 3, pp. 219-225. doi: 10.4064/ap86-3-2

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