Adjoints of composition operators on Hardy spaces of the half-plane

DOI10.1016/j.jfa.2008.11.025zbMath1175.47027arXiv0810.2184OpenAlexW2093343330MaRDI QIDQ1028325

Sam Elliott

Publication date: 30 June 2009

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.2184

zbMATH Keywords

Hardy spaceadjointcomposition operatorAleksandrov-Clark measure

Mathematics Subject Classification ID

Linear composition operators (47B33) Banach spaces of continuous, differentiable or analytic functions (46E15) Hardy spaces (30H10)

Related Items

Hilbertian Hardy-Sobolev spaces on a half-plane ⋮ Adjoints of composition operators with linear fractional symbols on the Dirichlet space of the disk or the ball ⋮ Convergence of powers of composition operators on certain spaces of holomorphic functions defined on the right half plane ⋮ Adjoints of composition operators with irrational symbol ⋮ Weighted composition operators on the Hilbert Hardy space of a half-plane

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A new class of operators and a description of adjoints of composition operators
• Adjoints of rationally induced composition operators
• Linear fractional composition operators on \(H^ 2\)
• The essential norm of a composition operator
• On the structure of invariant subspaces for isometric composition operators on \(H^2(\mathbb{D})\) and \(H^2(\mathbb{C}_+)\)
• Essential norms of composition operators and Aleksandrov measures
• Adjoints of composition operators with rational symbol
• Boundary convergence of vector-valued pseudocontinuable functions
• One dimensional perturbations of restricted shifts
• Composition operators on Hardy spaces of a half-plane
• Adjoints of a class of composition operators
• Composition Operators