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AIMS Mathematics
Article . 2025 . Peer-reviewed
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AIMS Mathematics
Article . 2025
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Characterizations of the product of asymmetric dual truncated Toeplitz operators

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2025Publisher:American Institute of Mathematical Sciences (AIMS)Journal:AIMS Mathematics, volume 10, pages 6,560-6,573 (issn: 2473-6988, Copyright policy )
Authors: Zhenhui Zhu; Qi Wu; Yong Chen;

doi: 10.3934/math.2025300

Characterizations of the product of asymmetric dual truncated Toeplitz operators

Abstract

The asymmetric dual truncated Toeplitz operator (ADTTO) is a compression multiplication operator acting on the orthogonal complement of two different model spaces. In this paper, we present an operator equation characterization of an ADTTO using the compressed shift operator. As an application, the product of two ADTTOs with certain symbols being another ADTTO is obtained.

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Keywords

product problem, model space, asymmetric dual truncated toeplitz operator, QA1-939, hardy space, Mathematics

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selected citations
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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