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arXiv · 0803.2004

Traces of Hörmander algebras on discrete sequences

Xavier Massaneda·Joaquim Ortega-Cerdà·Myriam Ounaïes
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Abstract

We show that a discrete sequence $Λ$ of the complex plane is the union of $n$ interpolating sequences for the Hörmander algebras $A_p$ if and only if the trace of $A_p$ on $Λ$ coincides with the space of functions on $Λ$ for which the divided differences of order $n-1$ are uniformly bounded. The analogous result holds in the unit disk for Korenblum-type algebras.

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Xavier Massaneda, Joaquim Ortega-Cerdà, Myriam Ounaïes. 2008-03-13. Traces of Hörmander algebras on discrete sequences. https://doi.org/10.1007/978-3-7643-9906-1

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