Hilbert-Schmidt Hankel operators on the Segal-Bargmann space

DOI10.1090/S0002-9939-04-07264-8zbMath1075.47017OpenAlexW1541024022MaRDI QIDQ4813724

Wolfram Bauer

Publication date: 13 August 2004

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-04-07264-8

zbMATH Keywords

Hankel operatorSegal--Bargmann spaceHilbert--Schmidt operator

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 on function spaces (general) (47B38)

Related Items (9)

Schatten class Hankel operators on the Segal-Bargmann space and the Berger-Coburn phenomenon ⋮ Hankel operators on Fock spaces and related Bergman kernel estimates ⋮ The Berger-Coburn phenomenon for Hankel operators on the Fock space ⋮ Big Hankel operators on vector-valued Fock spaces in \(\mathbb {C}^d\) ⋮ 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 ⋮ Hankel operators and the Stieltjes moment problem ⋮ Weighted composition operator on the Fock space

Cites Work

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• Toeplitz operators and quantum mechanics

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