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Fundamental solutions of the complex Monge-Ampère equation

100%

Celik H., Poletsky E.

Annales Polonici Mathematici

1997

tom 67

nr 2

103-110

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.

Order functions of plurisubharmonic functions

100%

Ibrahim Celik H., Poletsky E. A.

Studia Mathematica

1997

tom 124

nr 2

161-171

We consider the following problem: find on $ℂ^2$ a plurisubharmonic function with a given order function. In particular, we prove that any positive ambiguous function on $ℂℙ^1$ which is constant outside a polar set is the order function of a plurisubharmonic function.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Studia Mathematica

1 Celik H.

1 Ibrahim Celik H.

1 Poletsky E.

1 Poletsky E. A.

2 1997

Wyniki wyszukiwania

Fundamental solutions of the complex Monge-Ampère equation

Order functions of plurisubharmonic functions