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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)

Abstract

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).

Keywords

Bounded Function Strong Form Unique Index Multiplier Theorem Easy Matter 
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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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