Alexandrov-Bakelman-Pucci type estimate for plurisubharmonic functions

Dinew, Sławomir; Dinew, Żywomir

doi:10.48550/arxiv.1901.09931

2019

DOI: 10.48550/arxiv.1901.09931

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Alexandrov-Bakelman-Pucci type estimate for plurisubharmonic functions

Sławomir Dinew¹,

Żywomir Dinew²

Abstract: We prove an optimal Alexandrov-Bakelman-Pucci type estimate for plurisubharmonic functions without assuming their continuity. This generalizes a result of Y. Wang. As a corollary we generalize an estimate from [DD19]. We also address a problem posed in [Wan12].2010 Mathematics Subject Classification. 32W20.

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Alexandrov-Bakelman-Pucci type estimate for plurisubharmonic functions

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