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Applications of the Littlewood-Paley Theorem

Chapter
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Part of the Ergebnisse der Mathematik und ihrer Grenzgebiete book series (MATHE2, volume 90)

Abstract

In this chapter, we show how the Littlewood-Paley theorem for ℤ can be used to construct (i) examples of sets which are (p) for every p; and (ii) an example of a multiplier of L p which is in a certain sense “singular”. The results are due to Meyer [30] and Figà-Talamanca and Gaudry [14] respectively.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1977

Authors and Affiliations

  1. 1.Institute of Advanced StudiesAustralian National UniversityCanberraAustralia
  2. 2.Flinders UniversityBedford ParkAustralia

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