Some properties of plurisubharmonic functions
classification
🧮 math.CV
keywords
functionsplurisubharmonicpropertiescontinuousfirstfunctionintegrabilitylebesgue
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Two properties of plurisubharmonic functions are proven. The first result is a Skoda type integrability theorem with respect to a Monge-Amp\`ere mass with H\"older continuous potential. The second one says that locally, a p.s.h. function is $k$-Lipschitz outside a set of Lebesgue measure smaller that $c/k^2$.
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