Mathematische Zeitschrift

, Volume 265, Issue 2, pp 417–435 | Cite as

New results on restriction of Fourier multipliers

  • María Carro
  • Salvador Rodríguez


We develop an extension of the Transference methods introduced by R. Coifman and G. Weiss and apply it to study the problem of the restriction of Fourier multipliers between rearrangement invariant spaces, obtaining natural extensions of the classical de Leeuw’s result and its further extension to maximal Fourier multipliers due to C. Kenig and P. Tomas.


Compact Support Singular Integral Trigonometric Polynomial Lorentz Space Admissible Pair 
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© Springer-Verlag 2009

Authors and Affiliations

  1. 1.Departament de Matemàtica Aplicada i AnàlisiUniversitat de BarcelonaBarcelonaSpain

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