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Alexandrov-Bakelman-Pucci type estimate for plurisubharmonic functions

Complex Variables 2019-01-30 v1

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 \cite{DD18}. We also address a problem posed in \cite{Wan12}.

Keywords

Cite

@article{arxiv.1901.09931,
  title  = {Alexandrov-Bakelman-Pucci type estimate for plurisubharmonic functions},
  author = {Sławomir Dinew and Żywomir Dinew},
  journal= {arXiv preprint arXiv:1901.09931},
  year   = {2019}
}

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