Trace formula of semicommutators

Trace formula of semicommutators

For weighted Bergman spaces on the unit disk, we give trace formulas of semicommutators of Toeplitz operators with C2(D‾) symbols. We generalize this formula to weighted Bergman spaces on the unit ball in higher dimensions. Applications and examples on the Hankel operators are also discussed.

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Veröffentlicht in:Journal of functional analysis 2023-12, Vol.285 (11), p.110141, Article 110141
Hauptverfasser: Tang, Xiang, Wang, Yi, Zheng, Dechao
Format: Artikel
Sprache:eng
Schlagworte:
Hankel operator
Semi-commutator
Toeplitz operator
Weighted Bergman space
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Zusammenfassung:For weighted Bergman spaces on the unit disk, we give trace formulas of semicommutators of Toeplitz operators with C2(D‾) symbols. We generalize this formula to weighted Bergman spaces on the unit ball in higher dimensions. Applications and examples on the Hankel operators are also discussed.
ISSN:0022-1236
1096-0783
DOI:10.1016/j.jfa.2023.110141