Cowen's class and Thomson's class

Kunyu Guo; Hansong Huang

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arXiv · 1312.7498

Cowen's class and Thomson's class

Kunyu Guo·Hansong Huang

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Abstract

In studying commutants of analytic Toeplitz operators, Thomson proved a remarkable theorem which states that under a mild condition, the commutant of an analytic Toeplitz operator is equal to that of Toeplitz operator defined by a finite Blaschke product. Cowen gave an significant improvement of Thosom's result. In this paper, we will present examples in Cowen's class which does not lie in Thomson's class.

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Kunyu Guo, Hansong Huang. 2013-12-29. Cowen's class and Thomson's class. https://arxiv.org/abs/1312.7498

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