Plurisubharmonic function: Difference between revisions

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The main geometric application of the theory of plurisubharmonic functions is the famous theorem proven by [[Kiyoshi Oka]] in 1942.<ref name=oka/>

A continuous function <math>f:\; M \mapsto {\Bbbmathbb R}</math>

is called ''exhaustive'' if the preimage <math>f^{-1}(]-\infty, c])</math>

is compact for all <math>c\in {\Bbbmathbb R}</math>. A plurisubharmonic

function ''f'' is called ''strongly plurisubharmonic''

if the form <math>\sqrt{-1}(\partial\bar\partial f-\omega)</math>