Jensen measures, hyperconvexity and boundary behaviour of the pluricomplex Green function

• We characterise hyperconvexity in terms of Jensen measures with barycentre at a boundary point. We also give an explicit formula for the pluricomplex Green function in the Hartogs' triangle. Finally we study the behaviour of the pluricomplex Green function $g(z,w)$ as the pole $w$ tends to a boundary point.

Subject headings

NATURVETENSKAP  -- Matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics (hsv//eng)

Keyword

Jensen measures

hyperconvex domains

pluricomplex Green functions

MATHEMATICS

MATEMATIK

Publication and Content Type

ref (subject category)

art (subject category)