Fundamental solutions of the complex Monge-Ampère equation

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Title

Authors ¹, ¹

Department of Mathematics, Syracuse University, Syracuse, New York 13244, U.S.A.

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.

plurisubharmonic functions, singularities, order function, Monge-Ampère equation

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