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Emmanuel Fricain and Rishika Rupam
A note on multipliers between model spaces view print
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| Published: |
January 24, 2018 |
| Keywords: |
Multipliers, model spaces, Beurling-Malliavin densities |
| Subject: |
30J05, 30H10 |
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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.
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| Acknowledgements
The authors were supported by Labex CEMPI (ANR-11-LABX-0007-01)
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| 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
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