Trace Class Toeplitz Operators with Singular Symbols
Artikel i vetenskaplig tidskrift, 2020
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.
Toeplitz operators
distributional symbol
Bergman space
Författare
Grigori Rozenblioum
Chalmers, Matematiska vetenskaper
Saint Petersburg State University - Spsu
Göteborgs universitet
Nikolai L. Vasilevski
Centro de Investigacion y de Estudios Avanzados (CINVESTAV)
Proceedings of the Steklov Institute of Mathematics
0081-5438 (ISSN) 15318605 (eISSN)
Vol. 311 1 225-232Ämneskategorier
Geometri
Sannolikhetsteori och statistik
Matematisk analys
DOI
10.1134/S0081543820060140