Toeplitz operators on weighted Bergman spaces on finitely connected domains

DOI10.1007/s43034-023-00268-yOpenAlexW4366974998MaRDI QIDQ6040503

Nihat Gökhan Göğüş, Sinem Yelda Sönmez

Publication date: 17 May 2023

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

Full work available at URL: https://doi.org/10.1007/s43034-023-00268-y

zbMATH Keywords

Toeplitz operatorBergman spacesCarleson measurecomposition operatorKernel estimate

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Banach spaces of continuous, differentiable or analytic functions (46E15) Kernel functions in one complex variable and applications (30C40) Bergman spaces and Fock spaces (30H20)

Cites Work

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• Asymptotic behavior of eigenvalues of Toeplitz operators on the weighted analytic spaces
• Composition operators between weighted Bergman spaces with admissible Békollé weights
• Inequalities for Green functions in a Dini-Jordan domain in \(\mathbb{R}^2\)
• Toeplitz operators on harmonically weighted Bergman spaces and applications to composition operators on Dirichlet spaces
• Calculation and estimation of the Poisson kernel
• Composition operators on a local Dirichlet space.
• Reproducing kernels of some weighted Bergman spaces
• Carleson measures on simply connected domains
• Composition operators on distinct Bergman spaces over planar domains
• An integral estimate and the equivalent norms on \(F(p,q,s,k)\) spaces in the unit ball
• A Technique for Characterizing Carleson Measures on Bergman Spaces
• Harmonic Functions from a Complex Analysis Viewpoint
• Hilbert Spaces of Analytic Functions Between the Hardy and the Dirichlet Space
• Holomorphic \(Q\) classes

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