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Trace Formula of Semicommutators (2210.04148v1)
Published 9 Oct 2022 in math.CV, math.FA, and math.KT
Abstract: For weighted Bergman spaces on the unit disk, we give trace formulas of semicommutators of Toeplitz operators with $\mathscr{C}2(\overline{\mathbb{D}})$ 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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