Sarason’s Conjecture of Toeplitz Operators on Fock-Sobolev Type Spaces

In this note, we will solve Sarason’s conjecture on the Fock-Sobolev type spaces and give a well solution that if Toeplitz product TuTv¯, with entire symbols u and v, is bounded if and only if u=eq, v=Ce-q, where q is a linear complex polynomial and C is a nonzero constant.

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Bibliographic Details
Main Authors: Xiaofeng Wang, Jianjun Chen, Jin Xia
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2018/1571365
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