Hilbert matrix and its norm on weighted Bergman spaces

DOI10.1007/s12220-020-00509-9zbMath1482.47064OpenAlexW3085784589MaRDI QIDQ2048280

Boban Karapetrović

Publication date: 5 August 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-020-00509-9

zbMATH Keywords

normweighted Bergman 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 (7)

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 ⋮ Hilbert-type operators acting between weighted Fock spaces

Cites Work

• Unnamed Item
• Norm of the Hilbert matrix on Bergman and Hardy spaces and a theorem of Nehari type
• Norm of the Hilbert matrix on Bergman spaces
• Hilbert matrix on Bergman spaces
• The eigenfunctions of the Hilbert matrix
• Hilbert matrix on spaces of Bergman-type
• NORM OF THE HILBERT MATRIX OPERATOR ON THE WEIGHTED BERGMAN SPACES
• Composition operators and the Hilbert matrix
• Norm estimates of weighted composition operators pertaining to the Hilbert matrix
• Generalized Hilbert operators
• On the Spectrum of Hilbert's Matrix

This page was built for publication: Hilbert matrix and its norm on weighted Bergman spaces