EQUIDISTRIBUTION OF NON-PLURIPOLAR PRODUCTS ASSOCIATED WITH QUASI-PLURISUBHARMONIC FUNCTIONS OF FINITE ENERGY

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초록

In this article, we consider currents given by the p-fold non-pluripolar product associated with a quasi-plurisubharmonic function of finite energy, and prove that normalized pull-backs of such currents converge to the Green (p, p)-current exponentially fast in the sense of currents for holomorphic endomorphisms of P-k.

키워드

Pluripotential theorynon-pluripolar productCegrell classequidistributionGreen currentSUPER-POTENTIALSGREEN CURRENTCURRENTS
제목
EQUIDISTRIBUTION OF NON-PLURIPOLAR PRODUCTS ASSOCIATED WITH QUASI-PLURISUBHARMONIC FUNCTIONS OF FINITE ENERGY
저자
Ahn, TaeyongNgoc Cuong Nguyen
DOI
10.1090/proc/14725
발행일
2020-02
유형
Article
저널명
Proceedings of the American Mathematical Society
148
2
페이지
719 ~ 729