Bounded and compact Toeplitz operators with positive measure symbol on Fock-type spaces

DOI10.1007/S12220-019-00244-WOpenAlexW2964142372WikidataQ127445196 ScholiaQ127445196MaRDI QIDQ2658981

Zhi Hao Tu, Zhangjian Hu, Xiao Feng Wang

Publication date: 25 March 2021

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

Full work available at URL: https://doi.org/10.1007/s12220-019-00244-w

zbMATH Keywords

Toeplitz operatorBerezin transformaveraging functionFock-type space

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)

Related Items (7)

Duality of large Fock spaces in several complex variables and compact localization operators ⋮ Unnamed Item ⋮ Composition operators on Fock-type spaces ⋮ Toeplitz operators on Bergman spaces with exponential weights ⋮ Carleson measures and Berezin-type operators on Fock spaces ⋮ Mean oscillation and Hankel operators on Fock-type spaces ⋮ Carleson measures and Toeplitz operators between Bergman spaces on the Siegel upper half-space

Cites Work

• Unnamed Item
• Integral operators, embedding theorems and a Littlewood-Paley formula on weighted Fock spaces
• Toeplitz operators on Fock spaces \(F^p(\varphi)\)
• Toeplitz operators and Carleson measures on generalized Bargmann-Fock spaces
• On Toeplitz operators between Fock spaces
• BMO and Hankel operators on Fock-type spaces
• Toeplitz operators from one Fock space to another
• Toeplitz operators on doubling Fock spaces
• Toeplitz operators on the Fock space
• Positive Toeplitz operators between different doubling Fock spaces
• Hankel operators on Fock spaces and related Bergman kernel estimates
• Analysis on Fock Spaces
• Toeplitz Operators on the Segal-Bargmann Space
• Heat Flow and Berezin-Toeplitz Estimates
• Bounded, compact and <italic>S</italic><sub><italic>p</italic><sup>-</sup></sub>class operators on Fock-Sobolev spaces
• Toeplitz operators between generalized Fock spaces
• Toeplitz operators and quantum mechanics

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