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.
Furuta,Results underlogA≥logBcan be derived from ones underA≥B≥0by Uchiyama’s method – associated with Furuta and Kantorovich type operator inequalities, Math
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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.