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- Title
Sarason's Toeplitz product problem on the Fock-Sobolev space.
- Authors
Chen, Jian; Wang, Xiao; Xia, Jin; Cao, Guang
- Abstract
The Sarason's Toeplitz product problem asks when the Toeplitz product operator T T , with analytic symbols u and v, is bounded on Hilbert space of analytic functions. In this paper, we deal with this problem on the Fock-Sobolev space and have a complete solution that u = e, v = Ce , where q is a linear complex polynomial and C is a nonzero constant.
- Subjects
FOCK spaces; SOBOLEV spaces; TOEPLITZ matrices; ANALYTIC functions; HILBERT space
- Publication
Acta Mathematica Sinica, 2018, Vol 34, Issue 2, p288
- ISSN
1439-8516
- Publication type
Article
- DOI
10.1007/s10114-017-5780-8