Trace Formula of Semicommutators

Xiang, Tao; Wang, Yi; Zheng, Dechao

doi:10.48550/arxiv.2210.04148

2022

DOI: 10.48550/arxiv.2210.04148

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Trace Formula of Semicommutators

Tao Xiang¹,

Yi Wang²,

Dechao Zheng³

Abstract: For weighted Bergman spaces on the unit disk, we give trace formulas of semicommutators of Toeplitz operators with C 2 (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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Trace Formula of Semicommutators

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