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Traces of Hörmander Algebras on Discrete Sequences

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Analysis and Mathematical Physics

Part of the book series: Trends in Mathematics ((TM))

Abstract

We show that a discrete sequence A 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 A coincides with the space of functions on A for which the divided differences of order n-1 are uniformly bounded. The analogous result holds in the unit disk for Korenblum-type algebras.

Partially supported by the Picasso programme (Action Intégrée) HF2006-0211. First and second authors supported by MEC grant MTM2008-05561-C02-01 and CIRIT grant 2005-SGR 00611.

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Author information

Authors and Affiliations

  1. Departament de Matemàtica Aplicada i Anàlisi, Universität de Barcelona, Gran Via 585, 08071, Barcelona, Spain

    Xavier Massaneda & Joaquim Ortega-Cerdà

  2. Institut de Recherche Mathématique Avancée, Universitéde Strasbourg, 7 Rue RenéDescartes, 67084, Strasbourg CEDEX, France

    Myriam Ounal’es

Authors
  1. Xavier Massaneda
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  2. Joaquim Ortega-Cerdà
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  3. Myriam Ounal’es
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Editor information

Editors and Affiliations

  1. Department of Mathematics, Royal Institute of Technology (KTH), 100 44, Stockholm, Sweden

    Björn Gustafsson

  2. Department of Mathematics, University of Bergen, Johannes Brunsgate 12, 5008, Bergen, Norway

    Alexander Vasil’ev

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© 2009 Birkhäuser Verlag Basel/Switzerland

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Massaneda, X., Ortega-Cerdà, J., Ounal’es, M. (2009). Traces of Hörmander Algebras on Discrete Sequences. In: Gustafsson, B., Vasil’ev, A. (eds) Analysis and Mathematical Physics. Trends in Mathematics. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-9906-1_19

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