Extremal ω-plurisubharmonic functions as envelopes of disc functionals: generalization and applications to the local theory

Authors

  • Benedikt Steinar Magnússon

DOI:

https://doi.org/10.7146/math.scand.a-15228

Abstract

We generalize the Poletsky disc envelope formula for the function sup{uPSH(X,ω);uϕ} on any complex manifold X to the case where the real (1,1)-current ω=ω1ω2 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.

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Published

2012-12-01

How to Cite

Magnússon, B. S. (2012). Extremal ω-plurisubharmonic functions as envelopes of disc functionals: generalization and applications to the local theory. MATHEMATICA SCANDINAVICA, 111(2), 296–319. https://doi.org/10.7146/math.scand.a-15228

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Articles