Holomorphic Approximation near Strictly Pseudoconvex Boundary Points.
Holomorphic approximation of CR functions on tubular submanifolds of ℂ²
The purpose of this paper is to take a closer look at uniform semi-global (i.e. on compact subsets) holomorphic approximation of CR functions on tubular submanifolds in ℂ².
Holomorphic Approximation of Ultradifferentiable Functions.
Holomorphic convexity of spaces of analytic cycles
Holomorphic Fiber Bundles whose Fibers are Bounded Stein Domains with Zero First Betti Number.
Holomorphic Fibrations of Bounded Domains.
Holomorphic line bundles and divisors on a domain of a Stein manifold
Let be an open set of a Stein manifold of dimension such that for . We prove that is Stein if and only if every topologically trivial holomorphic line bundle on is associated to some Cartier divisor on .
Holomorphic line bundles on a domain of a two-dimensional Stein manifold
Let D be an open subset of a two-dimensional Stein manifold S. Then D is Stein if and only if every holomorphic line bundle L on D is the line bundle associated to some (not necessarily effective) Cartier divisor 𝔡 on D.
Holomorphic q-hulls in top degrees.
Holomorphic submersions from Stein manifolds
We establish the homotopy classification of holomorphic submersions from Stein manifolds to Complex manifolds satisfying an analytic property introduced in the paper. The result is a holomorphic analogue of the Gromov--Phillips theorem on smooth submersions.
Holomorph-prävollständige Resträume zu analytischen Mengen in Steinschen Räumen.
Homotopie für Okasche Paare von Garben homogener Räume.
Hulls of subsets of the torus in
We construct a non-polynomially convex compact subset of the unit torus in with polynomially convex hull containing no analytic structure.
Ideals of the Lie algebras of vector fields
Inner Functions and Boundary Values in H... (...) and A (...) in Smoothly Bounded Pseudoconvex Domains.
Inner functions in the ball
Internal characteristics of domains in ℂⁿ
This paper is devoted to internal capacity characteristics of a domain D ⊂ ℂⁿ, relative to a point a ∈ D, which have their origin in the notion of the conformal radius of a simply connected plane domain relative to a point. Our main goal is to study the internal Chebyshev constants and transfinite diameters for a domain D ⊂ ℂⁿ and its boundary ∂D relative to a point a ∈ D in the spirit of the author's article [Math. USSR-Sb. 25 (1975), 350-364], where similar characteristics have been investigated...
Interpolating discrete multiplicity varieties for
A necessary and sufficient condition is obtained for a discrete multiplicity variety to be an interpolating variety for the space .
Interpolating sequences, Carleson measures and Wirtinger inequality
Let S be a sequence of points in the unit ball of ℂⁿ which is separated for the hyperbolic distance and contained in the zero set of a Nevanlinna function. We prove that the associated measure is bounded, by use of the Wirtinger inequality. Conversely, if X is an analytic subset of such that any δ -separated sequence S has its associated measure bounded by C/δⁿ, then X is the zero set of a function in the Nevanlinna class of . As an easy consequence, we prove that if S is a dual bounded sequence...
Interpolating sequences of complex hyperplanes in the unit ball of
A sufficient condition is given to make a sequence of hyperplanes in the complex unit ball an interpolating sequence for , i.e. bounded holomorphic functions on the hyperplanes can be boundedly extended.