Schatten properties of Toeplitz operators on the Paley-Wiener space
R. V. Bessonov
TL;DR
This paper explores Schatten class Toeplitz operators on the Paley-Wiener space, providing new and existing characterizations and addressing a question about discrete Hilbert transform commutators.
Contribution
It offers new descriptions of Schatten class Toeplitz operators and resolves an open question on discrete Hilbert transform commutators.
Findings
Multiple descriptions of Schatten class Toeplitz operators are provided.
The paper answers an open question on discrete Hilbert transform commutators.
New characterizations enhance understanding of operator properties.
Abstract
We collect several old and new descriptions of Schatten class Toeplitz operators on the Paley-Wiener space and answer a question on discrete Hilbert transform commutators posed by Richard Rochberg.
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Taxonomy
TopicsHolomorphic and Operator Theory · Mathematical Analysis and Transform Methods · Algebraic and Geometric Analysis