The angular distribution of mass by weighted Bergman functions.
The canonical solution operator to aDOb∂aFOb restricted to spaces of entire functions
The Corona Theorem for Matrices.
The holomorphic automorphism group of the complex disk.
The metric space , 0
The Modulus of Rudin-Carleson Extensions.
The projective limit of the spaces
The punctured plane: alternating projections and -angles
The range of vector valued holomorphic mappings
Thin sequences in the corona of H ∞
In this paper we consider several conditions for sequences of points in M(H ∞) and establish relations between them. We show that every interpolating sequence for QA of nontrivial points in the corona of H ∞ is a thin sequence for H ∞, which satisfies an additional topological condition. The discrete sequences in the Shilov boundary of H ∞ necessarily satisfy the same condition.
Two questions concerning vector-valued holomorphic functions
Two remarks on the maximal-ideal space of H
The topology of the maximal-ideal space of is discussed.
Über die Häufigkeit fortsetzbarer holomorpher Funktionen auf Riemannschen Flächen.
Über getragene vektorwertige analytische Funktionale.
Uniform Convergence on Compacta and Locally Univalent Analytic Functions of Finite Order.
Uniform minimality, unconditionality and interpolation in backward shift invariant subspaces
We discuss relations between uniform minimality, unconditionality and interpolation for families of reproducing kernels in backward shift invariant subspaces. This class of spaces contains as prominent examples the Paley-Wiener spaces for which it is known that uniform minimality does in general neither imply interpolation nor unconditionality. Hence, contrarily to the situation of standard Hardy spaces (and of other scales of spaces), changing the size of the space seems necessary to deduce unconditionality...
Volterra composition operators from spaces to Bloch-type spaces.
Weak conditions for interpolation in holomorphic spaces.
An analogue of the notion of uniformly separated sequences, expressed in terms of extremal functions, yields a necessary and sufficient condition for interpolation in Lp spaces of holomorphic functions of Paley-Wiener-type when 0 < p ≤ 1, of Fock-type when 0 < p ≤ 2, and of Bergman-type when 0 < p < ∞. Moreover, if a uniformly discrete sequence has a certain uniform non-uniqueness property with respect to any such Lp space (0 < p < ∞), then it is an interpolation...
Weighted composition operators from spaces to spaces.
Weighted sub-Bergman Hilbert spaces in the unit disk
We study sub-Bergman Hilbert spaces in the weighted Bergman space . We generalize the results already obtained by Kehe Zhu for the standard Bergman space .