Sarason's Toeplitz product problem on the Fock-Sobolev space
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Publication:681761
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
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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