Trace class Toeplitz operators with singular symbols

2019/12/12 by Rozenblum, Grigori, Vasilevski, Nikolai
#47A75 (primary) #58J50 (secondary) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1912.05855

Abstract

We characterize the trace class membership of Toeplitz operators with distributional symbols acting on the Bergman space on the unit disk. The Berezin transform of distributions, introduced in the paper, yields a formula for the trace. Several instructive examples are also given.

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