H ( b ) spaces of non-extreme b over finitely connected planar domains
Abstract
Abstract In this work, density of the algebra A ( D ) $\mathcal{A}\left(D\right)$ in H ( b ) spaces of finitely connected planar domains and the boundedness of composition operators on these function spaces are studied. Density of the algebra is considered when the defining function b is a non-extreme point of the unit ball of H ∞ ( D ). In the last part boundedness of composition operators on H ( b ) spaces is considered and as well as a generalization of the unit disk case is given, the boundedness of composition operators with generalized Blaschke symbols over finitely connected domains is characterized.
Fields of Study & Subjects
Holomorphic and Operator Theory
Analytic and geometric function theory
Advanced Banach Space Theory
Publication details
- Journal / source
- Concrete Operators
- Volume
- 13
- Issue
- 1
- Publication date
- 1 January 2026
- Language
- EN