Extremal omega-plurisubharmonic functions as envelopes of disc functionals - Generalization and applications to the local theory

Benedikt Steinar Magnusson

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arXiv · 1103.4297

Extremal omega-plurisubharmonic functions as envelopes of disc functionals - Generalization and applications to the local theory

Benedikt Steinar Magnusson

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Abstract

We generalize the Poletsky disc envelope formula for the function $\sup \{u \in \PSH(X,ω) ; u\leq ϕ\}$ on any complex manifold $X$ to the case where the real (1,1)-current $ω=ω_1-ω_2$ is the difference of two positive closed (1,1)-currents and $ϕ$ is the difference of an $ω_1$-upper semicontinuous function and a plurisubharmonic function.

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BibTeX RIS

Benedikt Steinar Magnusson. 2011-07-19. Extremal omega-plurisubharmonic functions as envelopes of disc functionals - Generalization and applications to the local theory. https://arxiv.org/abs/1103.4297

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