Hankel operators on Fock spaces and related Bergman kernel estimates

DOI10.1007/s12220-011-9241-9zbMath1275.47063arXiv1011.2408OpenAlexW1994020356MaRDI QIDQ1935477

Kristian Seip, El Hassan Youssfi

Publication date: 18 February 2013

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.2408

zbMATH Keywords

boundednessHankel operatorcompactnessBergman kernelFock spaceSchatten class

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

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Cites Work

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• Hankel forms and the Fock space
• Toeplitz operators on the Fock space
• Pointwise estimates for the Bergman kernel of the weighted Fock space
• Hankel operators and the Stieltjes moment problem
• BMO in the Bergman metric on bounded symmetric domains
• Hankel and Toeplitz operators on the Fock space
• A Sobolev mapping property of the Bergman kernel
• Mean oscillation and Hankel operators on the Segal--Bargmann space
• Trace ideal criteria for operators of Hankel type
• Hankel operators on weighted Fock spaces
• Toeplitz Operators on the Segal-Bargmann Space
• Schatten Class Hankel Operators on the Bergman Space of the Unit Ball
• Hilbert-Schmidt Hankel operators on the Segal-Bargmann space
• Standard deviation and Schatten class Hankel operators on the Segal-Bargmann space
• Bergman kernel asymptotics for generalized Fock spaces

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