The algebra of bounded analytic functions on a Riemann surface.
The angular distribution of mass by Bergman functions.
Let D = {z: |z| < 1} be the unit disk in the complex plane and denote by dA two-dimensional Lebesgue measure on D. For ε > 0 we define Σε = {z: |arg z| < ε}. We prove that for every ε > 0 there exists a δ > 0 such that if f is analytic, univalent and area-integrable on D, and f(0) = 0 thenThis problem arose in connection with a characterization by Hamilton, Reich and Strebel of extremal dilatation for quasiconformal homeomorphisms of D.
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.