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Convolution Operators (Scalar-Valued Case)

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

Abstract

This chapter is of quite general character: in it we make almost no direct reference to the Littlewood-Paley, Marcinkiewicz, and M. Riesz theorems, which are our main goals. The material developed here is, however, central to the proofs of all three types of result, and can be used to prove a great deal more besides.

Keywords

Integrable Function Pairwise Disjoint Convolution Operator Decomposition Theorem Singular Kernel 
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.

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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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