Weighted composition operators on spaces of analytic functions on the complex half-plane

DOI10.1007/s11785-017-0677-1OpenAlexW2529341271WikidataQ59614718 ScholiaQ59614718MaRDI QIDQ1623860

Andrzej S. Kucik

Publication date: 23 November 2018

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.00485

zbMATH Keywords

Hardy spaceBergman spaceBergman kernelcompact operatorangular derivativeCarleson measureessential normweighted Bergman spacecomposition operatorweighted composition operatorcausal operatorZen space

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Linear operators on function spaces (general) (47B38) 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 (8)

Infinite-Time Admissibility of the Gurtin--Pipkin Systems in Hilbert Spaces ⋮ Unnamed Item ⋮ Composition operators on function spaces on the halfplane: spectra and semigroups ⋮ Applications of Grassmannian flows to coagulation equations ⋮ Unnamed Item ⋮ Weighted composition operators on the Hilbert Hardy space of a half-plane ⋮ Multiplication operators on weighted Bloch spaces of the first Cartan domains ⋮ Infinite-Time Admissibility and Exact Observability of Volterra Systems

Cites Work

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• Carleson measures for Hilbert spaces of analytic functions on the complex half-plane
• Boundedness of convolution operators and input-output maps between weighted spaces
• On Laplace-Carleson embedding theorems
• Norm estimates for weighted composition operators on spaces of holomorphic functions
• Interpolations by bounded analytic functions and the corona problem
• Composition operators on Hardy spaces of a half-plane
• Composition operators on weighted Bergman spaces of a half-plane
• Applications of Laplace--Carleson Embeddings to Admissibility and Controllability
• Fourier Transforms. (AM-19)
• Weighted composition operators on Hardy spaces

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