Work

Mixed Fourier Norm Spaces of Analytic Functions on the Upper Half-Plane and Toeplitz Operators

Year: 2025

Type: article

Abstract: 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.

Source: Mathematical Notes

DOI: 10.1134/s0001434625030010

Authors: Z. G. Avetisyan, A. N. Karapetyants, I. Smirnova

Institutions: Ghent University, Southern Federal University, Don State Technical University

Language: English

Topic: Holomorphic and Operator Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4411339427

FWCI: 5.68

Cites: 22

Cited by: 3

Related to: 10