The Fujii-Seo determinant density of a C^2 plurisubharmonic function equals the infimum of the spectrum of its Levi form and vanishes identically precisely when the function is maximal.
Cegrell,The general definition of the complex Monge–Ampère operator, Ann
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Regularity properties are established for geodesics between continuous plurisubharmonic functions and for the associated rooftop envelopes on bounded domains in ℂ^n.
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Maximal Plurisubharmonic Functions and Fujii-Seo Determinants in Hilbert spaces
The Fujii-Seo determinant density of a C^2 plurisubharmonic function equals the infimum of the spectrum of its Levi form and vanishes identically precisely when the function is maximal.
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Regularity of rooftop envelopes
Regularity properties are established for geodesics between continuous plurisubharmonic functions and for the associated rooftop envelopes on bounded domains in ℂ^n.