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

• Autores: Benedikt Steinar Magnússon
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 111, Nº 2, 2012, págs. 296-319
• Idioma: inglés
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• Resumen

  • We generalize the Poletsky disc envelope formula for the function sup{u∈PSH(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.