Integral representation of vertical operators on the Bergman space over the upper half-plane

DOI10.5802/crmath.477OpenAlexW4388766527MaRDI QIDQ6122539

Venku Naidu Dogga, Shubham R. Bais, Pinlodi Mohan

Publication date: 1 March 2024

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/crmath.477

zbMATH Keywords

Bergman spaceToeplitz operatormultiplication operatorreducing subspace

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Invariant subspaces of linear operators (47A15) Bergman spaces and Fock spaces (30H20)

Cites Work

• C*-algebra generated by horizontal Toeplitz operators on the Fock space
• \(C^*\)-algebra generated by angular Toeplitz operators on the weighted Bergman spaces over the upper half-plane
• On Bergman-Toeplitz operators with commutative symbol algebras
• Toeplitz operators on the Fock space: Radial component effects.
• Study of twisted Bargmann transform via Bargmann transform
• Vertical symbols, Toeplitz operators on weighted Bergman spaces over the upper half-plane and very slowly oscillating functions
• Vertical Toeplitz operators on the upper half-plane and very slowly oscillating functions
• Commutative algebras of Toeplitz operators on the Bergman space
• Analysis on Fock Spaces
• On a Hilbert space of analytic functions and an associated integral transform part I
• Harmonic Analysis in Phase Space. (AM-122)
• Handbook of Analytic Operator Theory
• Notes on functional analysis
• Bergman-Toeplitz operators: Radial component influence
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