TY - JOUR

T1 - Extremal ω-plurisubharmonic functions as envelopes of disc functionals

T2 - Generalization and applications to the local theory

AU - Magnússon, Benedikt Steinar

PY - 2012

Y1 - 2012

N2 - We generalize the Poletsky disc envelope formula for the function sup{u ∞ PS H (X, ω); u ≤ Φ} on any complex manifold X to the case where the real (1, 1)-current ω = ω1-ω2 is the difference of two positive closed (1, 1)-currents and Φ is the difference of an ω1-upper semicontinuous function and a plurisubharmonic function.

AB - We generalize the Poletsky disc envelope formula for the function sup{u ∞ PS H (X, ω); u ≤ Φ} on any complex manifold X to the case where the real (1, 1)-current ω = ω1-ω2 is the difference of two positive closed (1, 1)-currents and Φ is the difference of an ω1-upper semicontinuous function and a plurisubharmonic function.

UR - http://www.scopus.com/inward/record.url?scp=84878836963&partnerID=8YFLogxK

U2 - 10.7146/math.scand.a-15228

DO - 10.7146/math.scand.a-15228

M3 - Article

AN - SCOPUS:84878836963

SN - 0025-5521

VL - 111

SP - 296

EP - 319

JO - Mathematica Scandinavica

JF - Mathematica Scandinavica

IS - 2

ER -