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ArticleOriginal scientific text

Title

Measures and lacunary sets

Authors 1, 2

Affiliations

  1. Université des sciences et techniques Lille 1, Bât. M2, F-59655 Villeneuve d'Ascq, France
  2. Faculté Jean Perrin, Université d'Artois, Rue Jean Souvraz, BP 18, F-62307 Lens Cedex, France

Abstract

We establish new connections between some classes of lacunary sets. The main tool is the use of (p,q)-summing or weakly compact operators (for Riesz sets). This point of view provides new properties of stationary sets and allows us to generalize to more general abelian groups than the torus some properties of p-Sidon sets. We also construct some new classes of Riesz sets.

Keywords

ENG
stationary sets, p-Sidon sets, sets of continuity, Λ(1) sets, Riesz sets, random Fourier series, (p,q)-summing operators

Bibliography

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Studia Mathematica
1999/133/2
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Pages:
145-161
Main language of publication
English
Received
1998-03-17
Accepted
1998-05-26
Published
1999
Exact and natural sciences