Sarason's Toeplitz product problem on the Fock-Sobolev space

DOI10.1007/S10114-017-5780-8OpenAlexW2770895378MaRDI QIDQ681761

Jin Xia, Jian Jun Chen, Guang Fu Cao, Xiao Feng Wang

Publication date: 13 February 2018

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-017-5780-8

zbMATH Keywords

Toeplitz operatorBerezin transformFock-Sobolev spaceSarason's product

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Linear operators on function spaces (general) (47B38) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (4)

Semi-commuting Toeplitz operators on Fock-Sobolev spaces ⋮ Mixed product of Hankel and Toeplitz operators on Fock-Sobolev spaces ⋮ Sarason's Ha-Plitz product problem ⋮ Sarason's conjecture of Toeplitz operators on Fock-Sobolev type spaces

Cites Work

• Toeplitz operators and Carleson measures on generalized Bargmann-Fock spaces
• Bounded Toeplitz products on Bergman spaces of the unit ball
• 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
• Hankel operators on Fock spaces and related Bergman kernel estimates
• Products of Hankel and Toeplitz operators on the Bergman space
• Sarason's Toeplitz product problem for a class of Fock spaces
• Bounded Toeplitz products on the Bergman space of the unit ball in \(\mathbb C^n\)
• Sarason Conjecture on the Bergman Space
• Compactness and essential norm properties of operators on generalized Fock spaces
• Products of Toeplitz operators on the Fock space

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