BMO and Hankel operators on Fock-type spaces

DOI10.1007/s12220-014-9488-zzbMath1337.47044OpenAlexW2009136741MaRDI QIDQ490767

K. H. Zhu, Xiao Feng Wang, Guang Fu Cao

Publication date: 28 August 2015

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

Full work available at URL: https://doi.org/10.1007/s12220-014-9488-z

zbMATH Keywords

BMOHankel operatorToeplitz operatorBerezin transformgeneralized Fock space

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Bergman spaces of functions in several complex variables (32A36) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37) Bergman spaces and Fock spaces (30H20)

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Toeplitz operators with positive operator-valued symbols on vector-valued generalized Fock spaces, Duality of large Fock spaces in several complex variables and compact localization operators, Bounded and compact Toeplitz operators with positive measure symbol on Fock-type spaces, Hankel operators between different doubling Fock spaces, Unnamed Item, Hankel operators between different Fock-Sobolev type spaces, Composition operators on Fock-type spaces, Toeplitz operators on Bergman spaces with exponential weights, Big Hankel operators on vector-valued Fock spaces in \(\mathbb {C}^d\), Toeplitz type operator and Gleason's problem on H^p,q,s(B) of Cⁿ, Sarason's conjecture of Toeplitz operators on Fock-Sobolev type spaces, Hankel operators on Bergman spaces of annulus induced by regular weights, Mean oscillation and Hankel operators on Fock-type spaces, Hankel operators on Fock spaces F^p(ϕ), Boundedness and compactness of Hankel operators on large Fock space, On Hankel operators between Fock spaces, BMO and Hankel operators on Bergman space of the Siegel upper half-space, Positive Toeplitz operators between different Fock-Sobolev type spaces

Cites Work

• Unnamed Item
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• Hankel operators on weighted Fock spaces
• Analysis on Fock Spaces
• Toeplitz operators with BMO symbols on the Segal-Bargmann space
• Toeplitz Operators on the Segal-Bargmann Space
• Heat Flow and Berezin-Toeplitz Estimates
• Hankel operators with antiholomorphic symbols on the Fock space
• Toeplitz operators and quantum mechanics