A remark to a paper of Janas “Toeplitz operators related to certain domains in ”
A Simplification and Extension of Fefferman's Theorem on Biholomorphic Mappings.
A smooth Pseudoconvex domain without pseudoconvex exhaustion.
A tame splitting theorem for exact sequences of Fréchet spaces.
Addendum to: A Reduction Theorem for Cohomology Groups of Very Strongly q-Convex Kähler Manifolds.
Algebraic approximation in analytic geometry.
Ambient Deformations for Exceptional Sets in Two-Manifolds.
An eigenvalue problem for the complex Monge-Ampère operator in pseudoconvex domains
An example of a pseudoconvex domain whose holomorphic sectional curvature of the Bergman metric is unbounded
Let a and m be positive integers such that 2a < m. We show that in the domain the holomorphic sectional curvature of the Bergman metric at z in direction X tends to -∞ when z tends to 0 non-tangentially, and the direction X is suitably chosen. It seems that an example with this feature has not been known so far.
An integral formula on submanifolds of domains of Cn..
A Bochner-Martinelli-Koppelman type integral formula on submanifolds of pseudoconvex domains in Cn is derived; the result gives, in particular, integral formulas on Stein manifolds.
An open mapping theorem for analytic multifunctions
The paper gives sufficient conditions for projections of certain pseudoconcave sets to be open. More specifically, it is shown that the range of an analytic set-valued function whose values are simply connected planar continua is open, provided there does not exist a point which belongs to boundaries of all the fibers. The main tool is a theorem on existence of analytic discs in certain polynomially convex hulls, obtained earlier by the author.
Analycity of CR Equivalences Between Some Real Hypersurfaces in ...n with Degenerate Levi Forms.
Analytic functionals and Bergman spaces
Analyticité globale pour sur certaines hypersurfaces compactes de
Analyticité semi-globale pour le -Neumann dans des domaines pseudoconvexes
Aneurysms of pseudoconcave CR manifolds.
Application des techniques à la théorie des idéaux d’une algèbre de fonctions holomorphes avec poids
Applications holomorphes de domaines disqués non bornés.
We give several extensions to unbounded domains of the following classical theorem of H. Cartan: A biholomorphism between two bounded complete circular domains of Cn which fixes the origin is a linear map. In our paper, pseudo-convexity plays a main role. Some precise study is done for the case of dimension two and the case where one of the domains is Cn.
Approximation by Holomorphic Functions on Pseudokonvex Domains with Isolated Degeneracies.
Approximation d'operateurs d'extension minimale et de division.