Sarason.s Toeplitz product problem on the Fock.Sobolev space

Authors
Chen, Jian Jun Wang, Xiao Feng Xia, Jin Cao, Guang Fu
Citation
Chen, Jian Jun et al., Sarason.s Toeplitz product problem on the Fock.Sobolev space, Acta mathematica Sinica. English series (Print) , 34(2), 2018, pp. 288-296
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
34
Issue
2
Year of publication
2018
Pages
288 - 296
Database
ACNP
SICI code
Abstract
The Sarason.s Toeplitz product problem asks when the Toeplitz product operator T u T v. , 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 = eq, v = Ce .q, where q is a linear complex polynomial and C is a nonzero constant.