Email this article Toeplitz Operators Defined by Sesquilinear Forms: Bergman Space Case
- Authors: Rozenblum G.1, Vasilevski N.2
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Affiliations:
- Chalmers University of Technology, University of Gothenburg
- Deptartment of Mathematics, Cinvestav
- Issue: Vol 213, No 4 (2016)
- Pages: 582-609
- Section: Article
- URL: https://bakhtiniada.ru/1072-3374/article/view/237213
- DOI: https://doi.org/10.1007/s10958-016-2726-0
- ID: 237213
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Abstract
The definition of Toeplitz operators in the Bergman space of square integrable analytic functions in the unit disk in the complex plane is extended in such a way that it covers many cases where the traditional definition does not work. This includes, in particular, highly singular symbols such as measures, distributions, and certain hyperfunctions. Bibliography: 22 titles.
About the authors
G. Rozenblum
Chalmers University of Technology, University of Gothenburg
Author for correspondence.
Email: grigori@chalmers.se
Sweden, Gothenburg, S-412 96
N. Vasilevski
Deptartment of Mathematics, Cinvestav
Email: grigori@chalmers.se
Mexico, 14-740, Mexico-city, 07000
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