NORM OF THE HILBERT MATRIX OPERATOR ON THE WEIGHTED BERGMAN SPACES

DOI10.1017/S0017089517000258zbMath1482.47063OpenAlexW2766961249MaRDI QIDQ3177342

Boban Karapetrović

Publication date: 24 July 2018

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089517000258

zbMATH Keywords

weighted Bergman spaceHilbert matrixbound norm

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 (8)

New upper bound for the Hilbert matrix norm on negatively indexed weighted Bergman spaces ⋮ 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 ⋮ 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}

Cites Work

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• Taylor coefficients and coefficient multipliers of Hardy and Bergman-type spaces
• Norm of the Hilbert matrix on Bergman and Hardy spaces and a theorem of Nehari type
• Hilbert matrix on Bergman spaces
• Lectures on complex integration. Edited by Elena G. Tsitsishvili and Andreas Komnik
• Hilbert matrix on spaces of Bergman-type
• Composition operators and the Hilbert matrix
• Libera and Hilbert matrix operator on logarithmically weighted Bergman, Bloch and Hardy-Bloch spaces
• Hilbert matrix operator on Besov spaces
• On the Spectrum of Hilbert's Matrix
• Function classes on the unit disc. An introduction

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