Hankel Operators on the Bergman Space of Bounded Symmetric Domains

DOI10.2307/2001738zbMath0734.47016OpenAlexW4235635419MaRDI QIDQ3361434

K. H. Zhu

Publication date: 1991

Full work available at URL: https://doi.org/10.2307/2001738

zbMATH Keywords

Bergman kernelSchatten classBergman space of holomorphic functionslittle Hankel operators over a bounded symmetric domainnormalized volume measureprojection onto the closed subspace of antiholomorphic functions

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Linear operators on function spaces (general) (47B38)

Related Items (11)

Hilbert-Schmidt Hankel operators on the Segal-Bargmann space ⋮ Hankel operators on standard Bergman spaces ⋮ The product of small Hankel operators on the Bergman space ⋮ Essential norm estimates for little Hankel operators with anti holomorphic symbols on the weighted Bergman space of the unit disk ⋮ Essential norm estimates for little Hankel operators on weighted Bergman spaces of the unit ball ⋮ On characterizations of isometries on function spaces ⋮ Weak factorization and Hankel forms for weighted Bergman spaces on the unit ball ⋮ A characterization of certain types of Hankel symbols on the Drury-Arveson space ⋮ Hankel operators, invariant subspaces, and cyclic vectors in the Drury-Arveson space ⋮ Characterizations for Besov spaces and applications. I. ⋮ Pseudo-Carleson measures for Fock spaces

Cites Work

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• Hankel forms and the Fock space
• Duality and Hankel operators on the Bergman spaces of bounded symmetric domains
• BMO in the Bergman metric on bounded symmetric domains
• Trace ideal criteria for Toeplitz operators
• Function Theory on Cartan Domains and the Berezin-Toeplitz Symbol Calculus
• The Bergman Spaces, The Bloch Space, and Gleason's Problem
• Hankel Operators on Weighted Bergman Spaces
• Mean value theorems for harmonic and holomorphic functions on bounded symmetric domains.

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