Strong Forms of the Marcinkiewicz Multiplier Theorem and Littlewood-Paley Theorem for ℝ, \(\mathbb{T}\) and ℤ

  • R. E. Edwards
  • G. I. Gaudry
Part of the Ergebnisse der Mathematik und ihrer Grenzgebiete book series (MATHE2, volume 90)


To date, we have proved the weak Marcinkiewicz theorem and the Littlewood-Paley theorem for (i) the disconnected groups of Chapters 4 and 5; and (ii) the groups ℝ, Tand ℤ with the associated dyadic decompositions of their duals. Cf. Chapter 7. It is our intention now to strengthen the results in (ii).




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Copyright information

© Springer-Verlag Berlin Heidelberg 1977

Authors and Affiliations

  • R. E. Edwards
    • 1
  • G. I. Gaudry
    • 2
  1. 1.Institute of Advanced StudiesAustralian National UniversityCanberraAustralia
  2. 2.Flinders UniversityBedford ParkAustralia

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