Abstract
A truncated Hankel operator is a compression of a Hankel operator
to a model space
. In this paper we firstly characterize when a bounded truncated Hankel operator is compact. Then we study the product of a truncated Hankel operator and a truncated Toeplitz operator, and prove, for some special symbols, several necessary and sufficient conditions for the product to be zero or compact respectively.
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Acknowledgments
We are grateful to the referees for his helpful suggestions which improved the presentation of the paper.
Disclosure statement
No potential conflict of interest was reported by the author(s).