Mixed Fourier Norm Spaces of Analytic Functions on the Upper Half-Plane and Toeplitz Operators
We introduce and study weighted spaces of functions with mixed norm on the upper half-plane, defined in terms of the Fourier transform. We characterize analytic functions in these spaces and, in particular, give an analog of the Paley–Wiener theorem in this setting. As an application, we consider Toeplitz operators with vertical symbols in these new spaces.
Authors
- Irina A. Smirnova (ORCID: https://orcid.org/0000-0002-5825-5773)
- Zhirayr Avetisyan (ORCID: https://orcid.org/0000-0003-4378-6632)
- Alexey Karapetyants (ORCID: https://orcid.org/0000-0001-6205-3624)
Institutions
- HOGENT University of Applied Sciences and Arts (BE)
- Southern Federal University (RU)
- Ghent University Hospital (BE)
- Ghent University (BE)
- Don State Technical University (RU)
Publication Details
- Journal
- Mathematical Notes
- Published
- 2025-04-01
- DOI
- https://doi.org/10.1134/s0001434625030010
- Citations
- 3
- Primary Topic
- Holomorphic and Operator Theory
- Type
- article
- Field-Weighted Citation Impact
- 11.18