Lifting Hankel operators from the Hardy space to the Bergman space

DOI10.1216/rmjm/1181073118zbMath0722.47029OpenAlexW2042527541MaRDI QIDQ756095

Pratibha G. Ghatage

Publication date: 1990

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181073118

zbMATH Keywords

Hankel matricesHankel operators on the Hardy spaceinjective contractionrealizations of Hankel operators on the Bergman space

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Spaces of bounded analytic functions of one complex variable (30H05)

Related Items

Analytic functions of bounded mean oscillation and the Bloch space

Cites Work

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• The Bergman space, the Bloch space, and commutators of multiplication operators
• Inequalities on Bergman spaces
• Factorization theorems for Hardy spaces in several variables
• Factorization theorems for functions in the Bergman spaces
• Explicit Examples of Bloch Functions in every H p Space, but not in BMOA
• Hankel Operators on the Bergman Space for the Disc
• Hankel Operators on Hilbert Space
• Approximation by compact operators and the space \(H^\infty +C\)