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Positivity and Noncommutative Analysis pp 49–60Cite as

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On the Endpoints of De Leeuw Restriction Theorems

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Abstract

We prove a De Leeuw restriction theorem for Fourier multipliers on certain quasi-normed spaces. The proof is based on methods that were recently used in order to resolve problems on perturbations of commutators.

Dedicated to Ben de Pagter’s 65th birthday

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Author information

Authors and Affiliations

  1. TU Delft, EWI/DIAM, Delft, The Netherlands

    Martijn Caspers

Authors
  1. Martijn Caspers
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Correspondence to Martijn Caspers .

Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Mississippi, Oxford, MS, USA

    Gerard Buskes

  2. Mathematical Institute, Leiden University, Leiden, The Netherlands; Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria, South Africa

    Marcel de Jeu

  3. College of Science and Engineering, Flinders University, Adelaide, Australia

    Peter Dodds

  4. Department of Mathematics, University of South Carolina, Columbia, SC, USA

    Anton Schep

  5. School of Mathematics and Statistics, University of New South Wales, Sydney, Australia

    Fedor Sukochev

  6. Delft Institute of Applied Mathematics, Delft University of Technology, Delft, The Netherlands

    Jan van Neerven

  7. Mathematical Sciences Research Centre, Queen’s University Belfast, Belfast, UK

    Anthony Wickstead

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Caspers, M. (2019). On the Endpoints of De Leeuw Restriction Theorems. In: Buskes, G., et al. Positivity and Noncommutative Analysis. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-10850-2_4

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