New results on restriction of Fourier multipliers

• Autores: María Jesús Carro Rossell, Salvador Rodríguez López
• Localización: Mathematische zeitschrift, ISSN 0025-5874, Vol. 265, Nº. 2, 2010, págs. 417-435
• Idioma: inglés
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• Resumen

  • 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.