Commutants of Toeplitz Operators with Harmonic Symbols
Trieu Le, Akaki Tikaradze
TL;DR
This paper advances the understanding of the structure of commutants of Toeplitz operators with harmonic symbols on the Bergman space, generalizing previous partial results in the field.
Contribution
It provides a significant generalization of existing results, offering a broader characterization of commutants for Toeplitz operators with harmonic symbols.
Findings
Progress in describing commutants of Toeplitz operators with harmonic symbols
Generalization of previous partial results
Enhanced understanding of operator structure on Bergman space
Abstract
We make a progress towards describing the commutants of Toeplitz operators with harmonic symbols on the Bergman space over the unit disk. Our work greatly generalizes several partial results in the field.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsHolomorphic and Operator Theory · Spectral Theory in Mathematical Physics · Differential Equations and Boundary Problems