Advertisement

The Littlewood-Paley Theorem for ℝ, \(\mathbb{T}\) and ℤ: Dyadic Intervals

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

Abstract

In this chapter we establish the Littlewood-Paley theorem for ℝ, Tand ℤ in the case of dyadic intervals and the corresponding dyadic partial sum operators. We present two approaches, one of which is, formally speaking, vectorial in nature, the other being partly scalar, partly vectorial. We also discuss the case of finite products of ℝ, Tand ℤ.

Keywords

Trigonometric Polynomial Absolute Constant Weak Type Finite Product Dyadic Interval 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 1977

Authors and Affiliations

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

Personalised recommendations