Standard deviation and Schatten class Hankel operators on the Segal-Bargmann space

DOI10.1512/iumj.2004.53.2434zbMath1079.47026OpenAlexW1972250642MaRDI QIDQ5694213

Jingbo Xia, DeChao Zheng

Publication date: 29 September 2005

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/c6f50b8c9e51f7fb9a231dd588da04df7dbb29f8

zbMATH Keywords

Bergman spaceHankel operatorFock spacestandard deviationSchatten classSegal-Bargmann space

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (14)

Hilbert-Schmidt Hankel operators on the Segal-Bargmann space ⋮ Schatten class Hankel operators on the Segal-Bargmann space and the Berger-Coburn phenomenon ⋮ Hankel operators on Fock spaces and related Bergman kernel estimates ⋮ Schatten class Hankel operators on exponential Bergman spaces ⋮ Spectral deviation of concentration operators for the short-time Fourier transform ⋮ Hankel operators, the Segal-Bargmann space, and symmetrically-normed ideals ⋮ The Berger-Coburn phenomenon for Hankel operators on the Fock space ⋮ Unnamed Item ⋮ Continuity and Schatten--von Neumann \(p\)-class membership of Hankel operators with anti-holomorphic symbols on (generalized) Fock spaces ⋮ Heat flow, BMO, and the compactness of Toeplitz operators ⋮ Hilbert-Schmidt Hankel operators and Berezin iteration ⋮ \(p\)-summable commutators in Bergman spaces on egg domains ⋮ On Hankel operators between Fock spaces ⋮ Hankel operators and the Stieltjes moment problem

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