Ergodic properties of composition semigroups on the disc algebra
DOI10.1007/s11785-021-01105-7OpenAlexW3144974256WikidataQ114221793 ScholiaQ114221793MaRDI QIDQ2030211
Jochen Wengenroth, Alberto Rodríguez-Arenas, Leonhard Frerick
Publication date: 7 June 2021
Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11785-021-01105-7
One-parameter semigroups and linear evolution equations (47D06) Ergodic theory of linear operators (47A35) Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Spaces of bounded analytic functions of one complex variable (30H05) Linear composition operators (47B33)
Cites Work
- Mean ergodic composition operators on Banach spaces of holomorphic functions
- Angular and unrestricted limits of one-parameter semigroups in the unit disk
- Ergodic theorems. With a supplement by Antoine Brunel
- Semigroups of analytic functions and composition operators
- Mean ergodic semigroups of operators
- Fractional iteration in the disk algebra: prime ends and composition operators
- Canonical models for holomorphic iteration
- Semigroups of composition operators in Bergman spaces
- Iteration and the Solution of Functional Equations for Functions Analytic In the Unit Disk
- Asymptotic behavior of the powers of composition operators on Banach spaces of holomorphic functions
- POWERS OF COMPOSITION OPERATORS: ASYMPTOTIC BEHAVIOUR ON BERGMAN, DIRICHLET AND BLOCH SPACES
- Continuous Semigroups of Holomorphic Self-maps of the Unit Disc
- Abstract Ergodic Theorems and Weak Almost Periodic Functions
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