Trace Class Toeplitz Operators with Singular Symbols
Journal article, 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
Author
Grigori Rozenblioum
Chalmers, Mathematical Sciences
Saint Petersburg State University - Spsu
University of Gothenburg
Nikolai L. Vasilevski
Centro de Investigacion y de Estudios Avanzados Centro de Investigacion y de Estudios Avanzados (CINVESTAV)
Proceedings of the Steklov Institute of Mathematics
0081-5438 (ISSN) 15318605 (eISSN)
Vol. 311 1 225-232Subject Categories
Geometry
Probability Theory and Statistics
Mathematical Analysis
DOI
10.1134/S0081543820060140