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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 $\overline{\partial}$ 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 $\overline{\partial}$ .

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Finitely generated ideals in A ( ω )

Finitely generated ideals in $A (ω)$