Balanced domains of holomorphy of type
Balanced metrics and noncommutative Kähler geometry.
Balls defined by nonsmooth vector fields and the Poincaré inequality
We provide a structure theorem for Carnot-Carathéodory balls defined by a family of Lipschitz continuous vector fields. From this result a proof of Poincaré inequality follows.
Balls for the Kobayashi distance and extension of the automorphisms of strictly convex domains in with real analytic boundary
It is shown that given a bounded strictly convex domain in with real analitic boundary and a point in , there exists a larger bounded strictly convex domain with real analitic boundary, close as wished to , such that is a ball for the Kobayashi distance of with center . The result is applied to prove that if is not biholomorphic to the ball then any automorphism of extends to an automorphism of .
Banach space properties of strongly tight uniform algebras
We use the work of J. Bourgain to show that some uniform algebras of analytic functions have certain Banach space properties. If X is a Banach space, we say X is strongif X and X* have the Dunford-Pettis property, X has the Pełczyński property, and X* is weakly sequentially complete. Bourgain has shown that the ball-algebras and the polydisk-algebras are strong Banach spaces. Using Bourgain’s methods, Cima and Timoney have shown that if K is a compact planar set and A is R(K) or A(K), then A and...
Banach spaces in an analytic model of synthetic differential geometry
Barth-Lefschetz theorems for singular spaces.
Bases communes dans certains espaces de fonctions harmoniques et fonctions séparément harmoniques sur certains ensembles de
Bases in the space of entire Dirichlet funtions of two complex variables.
Basic covariant differential operators on hermitian symmetric spaces
Basic Properties of Real Analytic and Semianalytic Germs
Basische Elemente in Steinschen Moduln.
Behavior of holomorphic functions in complex tangential directions in a domain of finite type in Cn.
Let Ω be a domain in Cn. It is known that a holomorphic function on Ω behaves better in complex tangential directions. When Ω is of finite type, the best possible improvement is quantified at each point by the distance to the boundary in the complex tangential directions (see the papers on the geometry of finite type domains of Catlin, Nagel-Stein and Wainger for precise definition). We show that this improvement is characteristic: for a holomorphic function, a regularity in complex tangential directions...
Behavior of invariant metrics near convexifiable boundary points
The behaviour of the Carathéodory, Kobayashi and Azukawa metrics near convex boundary points of domains in is studied.
Behavior of the Carathéodory metric near strictly convex boundary points.
Behaviour at the boundary of the complex Monge-Ampère equation
Beispiel homogener Mannigfaltigkeiten.
Beispiele dreidimensionaler Hilbertscher Modulmannigfaltigkeiten von allgemeinem Typ.
Bemerkungen über eigentliche holomorphe Abbildungen.
Bemerkungen zur Deformationstheorie nichtrationaler Singularitäten.