Products of Toeplitz operators on the Fock space

DOI10.1090/S0002-9939-2014-12110-1zbMath1303.47035arXiv1212.0045OpenAlexW2019346687MaRDI QIDQ5418557

Jong-Do Park, Hong Rae Cho, K. H. Zhu

Publication date: 4 June 2014

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

Full work available at URL: https://arxiv.org/abs/1212.0045

zbMATH Keywords

Toeplitz operatorsFock spaceBerezin transformWeierstrass factorization

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Bergman spaces and Fock spaces (30H20)

Related Items (17)

Sarason's Toeplitz product problem for a class of Fock spaces ⋮ The Berezin transform and its applications ⋮ Semi-commuting Toeplitz operators on Fock-Sobolev spaces ⋮ Mixed product of Hankel and Toeplitz operators on Fock-Sobolev spaces ⋮ Products of Toeplitz and Hankel operators on Fock spaces ⋮ The \(L^p-L^q\) boundedness and compactness of Fock projections ⋮ On the product formula for Toeplitz and related operators ⋮ Sarason's Ha-Plitz product problem ⋮ Berger-Coburn Theorem, Localized Operators, and the Toeplitz Algebra ⋮ On products of some Toeplitz operators on polyanalytic Fock spaces ⋮ On the Fock kernel for the generalized Fock space and generalized hypergeometric series ⋮ Sarason's Toeplitz product problem on the Fock-Sobolev space ⋮ Sarason's conjecture of Toeplitz operators on Fock-Sobolev type spaces ⋮ Toeplitz composition operators on the Fock space ⋮ A class of weighted composition operators on the Fock space ⋮ Products of Hankel operators on the Fock space ⋮ Products of Toeplitz and Hankel operators on Fock-Sobolev spaces

Cites Work

• Linear combinations of composition operators on the Fock-Sobolev spaces
• Bounded Toeplitz products on Bergman spaces of the unit ball
• Hankel forms and the Fock space
• Linear and complex analysis problem book 3. Part 1
• Fock-Sobolev spaces and their Carleson measures
• Bounded Toeplitz products on the Bergman space of the polydisk.
• The distribution function inequality and products of Toeplitz operators and Hankel operators
• Products of Hankel and Toeplitz operators on the Bergman space
• Bounded Toeplitz products on the Bergman space of the unit ball in \(\mathbb C^n\)
• Analysis on Fock Spaces

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