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Continuity of the relative extremal function on analytic varieties in ℂⁿ

Frank Wikström (2005)

Annales Polonici Mathematici

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 ω K is continuous on V if Ω is hyperconvex and K is regular.

Convergence of holomorphic chains

Sławomir Rams (1997)

Annales Polonici Mathematici

We endow the module of analytic p-chains with the structure of a second-countable metrizable topological space.

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