A Note on multipliers between model spaces
Functional Analysis
2017-06-21 v1 Complex Variables
Abstract
In this note, we study the multipliers from one model space to another. In the case when the corresponding inner functions are meromorphic, we give both necessary and sufficient conditions ensuring this set of multipliers is not trivial. Our conditions involve the Beurling--Malliavin densities and are based on the deep work of Makarov--Poltoratski on injectivity of Toeplitz operators.
Keywords
Cite
@article{arxiv.1706.06522,
title = {A Note on multipliers between model spaces},
author = {Emmanuel Fricain and Rishika Rupam},
journal= {arXiv preprint arXiv:1706.06522},
year = {2017}
}
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9 pages