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Finitely generated ideals in A ( ω )

John Erik Fornaess, M. Ovrelid (1983)

Annales de l'institut Fourier

The Gleason problem is solved on real analytic pseudoconvex domains in C 2 . In this case the weakly pseudoconvex points can be a two-dimensional subset of the boundary. To reduce the Gleason problem to a question it is shown that the set of Kohn-Nirenberg points is at most one-dimensional. In fact, except for a one-dimensional subset, the weakly pseudoconvex boundary points are R -points as studied by Range and therefore allow local sup-norm estimates for .

Fundamental solutions of the complex Monge-Ampère equation

Halil Ibrahim Celik, Evgeny A. Poletsky (1997)

Annales Polonici Mathematici

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.

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