Geodesic
Trace Class Toeplitz Operators with Singular Symbols
Informatics and Automation, Analysis and mathematical physics, Tome 311 (2020), pp. 241-249

Voir la notice de l'article provenant de la source Math-Net.Ru

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{TRSPY_2020_311_a13,
     author = {Grigori V. Rozenblum and Nikolai L. Vasilevski},
     title = {Trace {Class} {Toeplitz} {Operators} with {Singular} {Symbols}},
     journal = {Informatics and Automation},
     pages = {241--249},
     publisher = {mathdoc},
     volume = {311},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2020_311_a13/}
}
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Grigori V. Rozenblum; Nikolai L. Vasilevski. Trace Class Toeplitz Operators with Singular Symbols. Informatics and Automation, Analysis and mathematical physics, Tome 311 (2020), pp. 241-249. http://geodesic.mathdoc.fr/item/TRSPY_2020_311_a13/