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Characterizations of Hankel operators in the essential commutant of quasicontinuous Toeplitz operators

Published online by Cambridge University Press:  09 February 2021

Yi Yan*
Affiliation:
Department of Mathematics, University of Kansas, Lawrence, KS 66045, USA
*
e-mail: yiyan@ku.edu

Abstract

This note characterizes, in terms of interpolating Blaschke products, the symbols of Hankel operators essentially commuting with all quasicontinuous Toeplitz operators on the Hardy space of the unit circle. It also shows that such symbols do not contain the complex conjugate of any nonconstant singular inner function.

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Article
Copyright
© Canadian Mathematical Society 2021

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Characterizations of Hankel operators in the essential commutant of quasicontinuous Toeplitz operators
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