Geodesic
Measures and lacunary sets
Studia Mathematica, Tome 133 (1999) no. 2, pp. 145-161

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/sm-133-2-145-161
Keywords: stationary sets, p-Sidon sets, sets of continuity, Λ(1) sets, Riesz sets, random Fourier series, (p, q)-summing operators

Pascal Lefèvre 1

1 
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Pascal Lefèvre. Measures and lacunary sets. Studia Mathematica, Tome 133 (1999) no. 2, pp. 145-161. doi: 10.4064/sm-133-2-145-161

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