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Mathematics
Article . 2026 . Peer-reviewed
License: CC BY
Data sources: Crossref
Claim

Skew-Commuting Toeplitz Operators and Dual Toeplitz Operators on Bergman Spaces

descriptionPublicationkeyboard_double_arrow_right Article 18 May 2026 English Publisher:MDPI AGJournal:Mathematics, volume 14, page 1,727 (eissn: 2227-7390, Copyright policy )
Authors: Caochuan Ma; Tong Guan; Jianxiang Dong;

doi: 10.3390/math14101727

Skew-Commuting Toeplitz Operators and Dual Toeplitz Operators on Bergman Spaces

Abstract

We study the skew-commutativity of Toeplitz operators and dual Toeplitz operators on the Bergman space of the unit disk. For bounded harmonic symbols, we characterize when two Toeplitz operators are skew-commuting. For general bounded measurable symbols, we give necessary and sufficient conditions for the skew-commutativity of dual Toeplitz operators. Our results characterize skew-commutativity in both settings and show that the conditions are more restrictive than in the commutative case.

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selected citations
These citations are derived from selected sources.
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).
BIP!Citations provided by BIP!
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.
BIP!Impulse provided by BIP!
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