Analysis Seminar

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• Speaker: Jani A Virtanen, 1/30/2008, 4-5pm, ES135

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  Title:Toeplitz and Hankel operators on the Bergman space $A^1$ (with J. Taskinen)

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  Abstract:The Fredholm properties of Toeplitz operators on the Bergman space $A^2$ are well known for continuous symbols. We investigate the case $p=1$ with continuous symbols under a mild additional condition, namely that of the logarithmic vanishing mean oscillation in the Bergman metric. Most differences are related to boundedness properties of Toeplitz operators acting on $A^p$ that arise when we no longer have p bigger than 1, in particular bounded Toeplitz operators on $A^1$ were characterized completely very recently but only for bounded symbols. We also consider compactness of Hankel operatorson $A^1$.

Comments to Rongwei Yang.