Complex symmetric composition operators on weighted Hardy spaces

DOI10.1090/proc/14909zbMath1435.47039OpenAlexW2982480307WikidataQ126862524 ScholiaQ126862524MaRDI QIDQ5221354

Daniel Sievewright, Sivaram K. Narayan, Maria Tjani

Publication date: 25 March 2020

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

Full work available at URL: https://doi.org/10.1090/proc/14909

zbMATH Keywords

conjugationweighted Bergman spacecomposition operatorweighted Hardy spacecomplex symmetric operatorlinear fractional maps

Mathematics Subject Classification ID

Linear composition operators (47B33) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32) Hardy spaces (30H10) Bergman spaces and Fock spaces (30H20)

Related Items (12)

Composition operators on Hardy-Smirnov spaces ⋮ 2-complex symmetric weighted composition operators on the weighted Bergman spaces of the half-plane ⋮ Complex symmetry of linear combinations of composition operators on the McCarthy-Bergman space of Dirichlet series ⋮ Generalized weighted composition operators on weighted Hardy spaces ⋮ Complex symmetric weighted composition-differentiation operators ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Interplay between complex symmetry and Koenigs eigenfunctions ⋮ Weighted composition-differentiation operators on the Hardy space ⋮ Weighted composition-differentiation operators on the Bergman space ⋮ Weighted composition operators on the Fock space ⋮ Complex symmetry of weighted composition operators on a Hilbert space of Dirichlet series

Cites Work

• Complex symmetric composition operators on \(H^{2}\)
• Hermitian weighted composition operators and Bergman extremal functions
• Self-adjoint, unitary, and normal weighted composition operators in several variables
• Composition operators and classical function theory
• Relating composition operators on different weighted Hardy spaces
• Complex symmetry of invertible composition operators
• Spectra of some composition operators and associated weighted composition operators
• Some new classes of complex symmetric operators
• Complex symmetric operators and applications II
• Which Weighted Composition Operators are Complex Symmetric?
• Complex symmetric operators and applications
• Unnamed Item
• Unnamed Item

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