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 -