POWERS OF COMPOSITION OPERATORS: ASYMPTOTIC BEHAVIOUR ON BERGMAN, DIRICHLET AND BLOCH SPACES

DOI10.1017/S1446788719000235zbMath1439.30083OpenAlexW2990507742WikidataQ126652366 ScholiaQ126652366MaRDI QIDQ5110621

Sachi Srivastava, Wolfgang Arendt, Mahesh Kumar, Isabelle Chalendar

Publication date: 21 May 2020

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788719000235

zbMATH Keywords

Bergman spaceBloch spaceDirichlet spacecomposition operator

Mathematics Subject Classification ID

Linear composition operators (47B33) Spaces and algebras of analytic functions of one complex variable (30H99) Bloch spaces (30H30)

Related Items (12)

Mean ergodic composition operators on \(H^{\infty} (\mathbb{B}_n)\) ⋮ Dynamics of weighted composition operators on spaces of entire functions of exponential and infraexponential type ⋮ Weighted/unweighted composition operators which are Ritt or unconditional Ritt operators ⋮ Operators between different weighted Fréchet and (LB)-spaces of analytic functions ⋮ Powers of operators: convergence and decomposition ⋮ Weighted composition operators on Korenblum type spaces of analytic functions ⋮ In Koenigs' footsteps: diagonalization of composition operators ⋮ Asymptotics and isometries of weighted composition operators on Banach spaces of holomorphic functions ⋮ Ergodic properties of composition semigroups on the disc algebra ⋮ Ergodic properties of composition operators on Banach spaces of analytic functions ⋮ The iterates of composition operators on Banach spaces of holomorphic functions ⋮ Weighted Banach spaces of analytic functions with sup-norms and operators between them: a survey

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Isometric and closed-range composition operators between Bloch-type spaces
• Spectra of composition operators on the Bloch and Bergman spaces
• Mean ergodicity of weighted composition operators on spaces of holomorphic functions
• On the isometric composition operators on the Bloch space in \(\mathbb C^n\)
• The essential norm of a composition operator
• The essential norm of a composition operator on Bloch spaces
• Adjoints of linear fractional composition operators on the Dirichlet space
• The spectra of composition operators from linear fractional maps acting upon the Dirichlet space
• Norms and spectral radii of composition operators acting on the Dirichlet space
• Norm estimates for weighted composition operators on spaces of holomorphic functions
• Vector-valued Laplace Transforms and Cauchy Problems
• Composition Operators on Analytic Lipschitz Spaces
• Composition operators associated with bloch-type spaces
• Norm of composition operators on the Bloch space
• Isometries of the Dirichlet space among the composition operators
• Isometries of the Bloch space among the composition operators
• Mean growth of Koenigs eigenfunctions
• Composition operator on Bloch type spaces
• Weighted Composition Operators on Weighted Banach Spaces of Analytic Functions
• A Sharp Estimate for A p α Functions in C n
• Similarity to an isometry of a composition operator
• Compact Composition Operators on the Bloch Space
• Composition operators between Bergman and Hardy spaces
• Asymptotic behavior of the powers of composition operators on Banach spaces of holomorphic functions
• Composition operators with maximal norm on weighted Bergman spaces

This page was built for publication: POWERS OF COMPOSITION OPERATORS: ASYMPTOTIC BEHAVIOUR ON BERGMAN, DIRICHLET AND BLOCH SPACES