Geodesic
Trace Class Toeplitz Operators with Singular Symbols
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Analysis and mathematical physics, Tome 311 (2020), pp. 241-249

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We provide sufficient conditions for Toeplitz operators with distributional symbols acting on the Bergman space on the unit disk to be trace class. The Berezin transform of distributions, introduced in the paper, yields a formula for the trace. Several instructive examples are also given.
Keywords: Bergman space, Toeplitz operators
Mots-clés : distributional symbol. 
@article{TM_2020_311_a13,
     author = {Grigori V. Rozenblum and Nikolai L. Vasilevski},
     title = {Trace {Class} {Toeplitz} {Operators} with {Singular} {Symbols}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {241--249},
     publisher = {mathdoc},
     volume = {311},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2020_311_a13/}
}
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Grigori V. Rozenblum; Nikolai L. Vasilevski. Trace Class Toeplitz Operators with Singular Symbols. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Analysis and mathematical physics, Tome 311 (2020), pp. 241-249. http://geodesic.mathdoc.fr/item/TM_2020_311_a13/