English

Pluripolar graphs are holomorphic

Complex Variables 2013-02-25 v2

Abstract

We prove that the graph of a continuous function ff, defined on a domain of Cn{\mathbb C}^n, is pluripolar if and only if ff is holomorphic.

Keywords

Cite

@article{arxiv.math/0301181,
  title  = {Pluripolar graphs are holomorphic},
  author = {N. V. Shcherbina},
  journal= {arXiv preprint arXiv:math/0301181},
  year   = {2013}
}

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14 pages