Fredholm Toeplitz operators with VMO symbols and the duality of generalized Fock spaces with small exponents

DOI10.1017/prm.2019.65zbMath1485.47045OpenAlexW2992065159WikidataQ126665704 ScholiaQ126665704MaRDI QIDQ4965391

Zhangjian Hu, Jani A. Virtanen

Publication date: 1 March 2021

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/prm.2019.65

zbMATH Keywords

Toeplitz operatorsquasi-Banach spacesFredholm propertiesFock spacesvanishing mean oscillation

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 (5)

Fredholm and Schatten class operators on Bergman spaces with exponential weights ⋮ Reverse Carleson measures on generalized Fock spaces ⋮ Positive operator-valued Toeplitz operators on vector-valued generalized Fock spaces ⋮ IDA and Hankel operators on Fock spaces ⋮ Fredholm Toeplitz operators on doubling Fock spaces

Cites Work

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• Hankel and Toeplitz operators on the Fock space
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• Bergman spaces with exponential weights
• Fredholmness of Toeplitz operators on the Fock space
• Analysis on Fock Spaces
• Toeplitz Operators on the Segal-Bargmann Space
• The $S^p$-criterion for Hankel forms on the Fock space, $0 < p < 1$.
• Stability results on interpolation scales of quasi-Banach spaces and applications
• Fredholm theory of Toeplitz operators on doubling Fock Hilbert spaces
• Hankel operators on Fock spaces F^p(ϕ)

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