New York Journal of Mathematics
Volume 24 (2018) 147-156

  

Emmanuel Fricain and Rishika Rupam

A note on multipliers between model spaces

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Published: January 24, 2018
Keywords: Multipliers, model spaces, Beurling-Malliavin densities
Subject: 30J05, 30H10

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.

Acknowledgements

The authors were supported by Labex CEMPI (ANR-11-LABX-0007-01)


Author information

Emmanuel Fricain:
Laboratoire Paul Painlevé, Université Lille 1, 59 655 Villeneuve d'Ascq Cédex
emmanuel.fricain@math.univ-lille1.fr

Rishika Rupam:
Laboratoire Paul Painlevé, Université Lille 1, 59 655 Villeneuve d'Ascq Cédex
rishika.rupam@math.univ-lille1.fr