Complex symmetry of Toeplitz operators

Yile Zhao; Yong Chen; Young Joo Lee

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Complex symmetry of Toeplitz operators

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arxiv 2107.06669 v1 pith:IQQWFGRV submitted 2021-07-14 math.FA math.CV

Yong Chen , Young Joo Lee , Yile Zhao This is my paper · ORCID

classification math.FAmath.CV

keywords operatorstoeplitzcomplexclassconjugationsresultssymmetricityanalytic

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We introduce a new class of conjugations and characterize complex symmetric Toeplitz operators on the Hardy space with respect to those conjugations. Also, we prove that complex symmetricity and \uet~ property are the same for a certain class of Toeplitz operators. We also discuss the analytic symmetricity for Toeplitz operators. Our results extend several known results by providing unified ways of treating them.

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