Subextension of plurisubharmonic functions with weak singularities

U. Cegrell , S. Kolodziej , A. Zeriahi (1)

1 LEP - Laboratoire Émile Picard

We prove several results showing that plurisubharmonic functions with various bounds on their Monge-Ampere masses on a bounded hyperconvex domain always admit global plurisubharmonic subextension with logarithmic growth at infinity.

Domaines: Variables complexes [math.CV]

U. Cegrell, S. Kolodziej, A. Zeriahi. Subextension of plurisubharmonic functions with weak singularities. Mathematisch Zeitschrift, 2005, 250 numéro 1, pp.7-22. ⟨hal-00134243⟩