A Counterexample for the Levi Problem for the Branched Riemann Domains over Cn.
An Increasing Sequence of Stein Manifolds whose Limit is not Stein.
2 Dimensional Counterexamples to Generalizations of the Levi Problem.
Uniform Approximation on Manifolds.
The Levi problem in Stein spaces.
Plurisubharmonic functions on smooth domains.
Oka' s inequality for currents and applications.
Pseudoconvex Domains: An Example with Nontrivial Nebenhülle.
Smoothing q-Convex Functions in the Singular Case.
Uniform Approximation of Holomorphic Functions on Bounded Hartogs Domains in C2.
Exploding orbits of holomorphic structures.
A smooth Pseudoconvex domain without pseudoconvex exhaustion.
Strictly pseudohyperbolic domains.
Counterexample to Regularity for the Complex Monge-Ampère Equation.
Domains with Pseudoconvex Neighborhood Systems.
Classification of recurrent domains for some holomorphic maps.
Holomorphic reproducing kernel for Kohn-Nierenberg domains in C...
A result on extension of C.R. functions
Let an open set in near , a suitable holomorphic function near . If we know that we can solve the following problem (see [M. Derridj, Annali. Sci. Norm. Pisa, Série IV, vol. IX (1981)]) : , ( is a form, closed in in with supp, then we deduce an extension result for functions on , as holomorphic fonctions in .
Finitely generated ideals in
The Gleason problem is solved on real analytic pseudoconvex domains in . 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 -points as studied by Range and therefore allow local sup-norm estimates for .
Local holomorphic extendability and non-extendability of -functions on smooth boundaries
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