Tangential boundary limits and exceptional sets for holomorphic functions in Dirichlet-type spaces.
The cohomology of an open subspace of a Stein spaces.
The ends of discs
The generalized three circle- and other convexity theorems with application to the construction of envelopes of holomorphy
The Hartogs-type extension theorem for meromorphic maps intor compact Kähler manifolds.
The Hölder continuity of the Bergman projection and proper holomorphic mappings
The holomorphic extension of CR functions on tube submanifolds
We show that a CR function of class , 0 ≤ k < ∞, on a tube submanifold of holomorphically extends to the convex hull of the submanifold. The extension and all its derivatives through order k are shown to have nontangential pointwise boundary values on the original tube submanifold. The -norm of the extension is shown to be no bigger than the -norm of the original CR function.
The Levi problem for domains spread over locally convex spaces with a finite dimensional Schauder decomposition
It is proved that the Levi problem for certain locally convex Hausdorff spaces over with a finite dimensional Schauder decomposition (for example for Fréchet or Silva spaces with a Schauder basis) the Levi problem has a solution, i.e. every pseudoconvex domain spread over is a domain of existence of an analytic function. It is also shown that a pseudoconvex domain spread over a Fréchet space or a Silva space with a finite dimensional Schauder decomposition is holomorphically convex and satisfies...
The Levi problem in Stein spaces.
The Levi Problem on Complex Spaces with Singularities.
The Levi Problem on Pseudoconvex Manifolds Which are not Strongly Pseudoconvex.
The local boundary regularity of the solution of the -equation
The Mergelyan-Bishop theorem in the case of mapping into homogeneous manifolds. II. Proof of the theorem and application.
The Oka-Weil theorem in locally convex spaces with the approximation property
The Oka-Weil theorem in topological vector spaces
It is shown that a sequentially complete topological vector space X with a compact Schauder basis has WSPAP (see Definition 2) if and only if X has a pseudo-homogeneous norm bounded on every compact subset of X.
The polynomial hull of unions of convex sets in
We prove that three pairwise disjoint, convex sets can be found, all congruent to a set of the form , such that their union has a non-trivial polynomial convex hull. This shows that not all holomorphic functions on the interior of the union can be approximated by polynomials in the open-closed topology.
The Runge approximation problem for holomorphic maps into Grassmannians.
The Serre Problem on Riemann Surfaces.
The topology of Stein CR manifolds and the Lefschetz theorem
Necessary topological conditions are given for the closed CR embedding of a CR manifold into a Stein manifold or into a complex projective space.
The union problem on complex manifolds.