Norm of the Hilbert matrix on Bergman spaces

DOI10.1016/j.jfa.2017.08.005zbMath1482.47058OpenAlexW2743069632MaRDI QIDQ1677460

Vladimir Božin, Boban Karapetrović

Publication date: 21 November 2017

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2017.08.005

zbMATH Keywords

normBergman spacesHilbert matrix

Mathematics Subject Classification ID

Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Bergman spaces and Fock spaces (30H20)

Related Items (11)

New upper bound for the Hilbert matrix norm on negatively indexed weighted Bergman spaces ⋮ Norm of the Hilbert matrix operator on the Korenblum space ⋮ Exact essential norm of generalized Hilbert matrix operators on classical analytic function spaces ⋮ Norm of the Hilbert matrix on logarithmically weighted Bergman spaces ⋮ On the Hilbert matrix norm on positively indexed weighted Bergman spaces ⋮ On the norm of the Hilbert matrix ⋮ Norm estimates of weighted composition operators pertaining to the Hilbert matrix ⋮ On the exact value of the norm of the Hilbert matrix operator on weighted Bergman spaces ⋮ Hilbert matrix and its norm on weighted Bergman spaces ⋮ Generalized Hilbert matrices acting on spaces that are close to the Hardy space \(H^1\) and to the space \textit{BMOA} ⋮ Hilbert-type operators acting between weighted Fock spaces

Cites Work

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• Hilbert matrix on Bergman spaces
• The eigenfunctions of the Hilbert matrix
• Inequalities for Beta and Gamma functions via some classical and new integral inequalities
• Hilbert matrix on spaces of Bergman-type
• Composition operators and the Hilbert matrix
• Hilbert matrix operator on Besov spaces
• Generalized Hilbert operators
• On the Spectrum of Hilbert's Matrix
• Function classes on the unit disc. An introduction

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