Trace formula of semicommutators

JOURNAL OF FUNCTIONAL ANALYSIS（2023）

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摘要

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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关键词

Toeplitz operator,Hankel operator,Weighted Bergman space,Semi-commutator

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