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Trace Formula of Semicommutators

Published 9 Oct 2022 in math.CV, math.FA, and math.KT | (2210.04148v1)

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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Authors (3)

  1. Xiang Tang 
  2. Yi Wang 
  3. Dechao Zheng 

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