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Fundamental solutions of the complex Monge-Ampère equation

Volume 67 / 1997

Halil Celik, Evgeny Poletsky Annales Polonici Mathematici 67 (1997), 103-110 DOI: 10.4064/ap-67-2-103-110

Abstract

We prove that any positive function on ℂℙ¹ which is constant outside a countable $G_δ$-set is the order function of a fundamental solution of the complex Monge-Ampère equation on the unit ball in ℂ² with a singularity at the origin.

Authors

  • Halil Celik
  • Evgeny Poletsky

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