Sarason＇s Toeplitz Product Problem on the Fock-Sobolev Space

The Sarason＇s Toeplitz product problem asks when the Toeplitz product operator TuTv, 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 l...

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Bibliographic Details
Published in:数学学报：英文版 2018, Vol.34 (2), p.288-296
Main Authors: Jian Jun CHEN, Xiao Feng WANG, Jin XIA, Guang Fu CAO
Format: Article
Language:English
Online Access:Get full text
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Summary:The Sarason＇s Toeplitz product problem asks when the Toeplitz product operator TuTv, 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.
ISSN:1439-8516
1439-7617