Measures and lacunary sets

Pascal Lefèvre

Studia Mathematica (1999)

  • Volume: 133, Issue: 2, page 145-161
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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Lefèvre, Pascal. "Measures and lacunary sets." Studia Mathematica 133.2 (1999): 145-161. <http://eudml.org/doc/216610>.

@article{Lefèvre1999,
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.},
author = {Lefèvre, Pascal},
journal = {Studia Mathematica},
keywords = {stationary sets; p-Sidon sets; sets of continuity; Λ(1) sets; Riesz sets; random Fourier series; (p,q)-summing operators; -Sidon sets; sets; -summing operators; lacunary sets; Fourier multiplier},
language = {eng},
number = {2},
pages = {145-161},
title = {Measures and lacunary sets},
url = {http://eudml.org/doc/216610},
volume = {133},
year = {1999},
}

TY - JOUR
AU - Lefèvre, Pascal
TI - Measures and lacunary sets
JO - Studia Mathematica
PY - 1999
VL - 133
IS - 2
SP - 145
EP - 161
AB - 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.
LA - eng
KW - stationary sets; p-Sidon sets; sets of continuity; Λ(1) sets; Riesz sets; random Fourier series; (p,q)-summing operators; -Sidon sets; sets; -summing operators; lacunary sets; Fourier multiplier
UR - http://eudml.org/doc/216610
ER -

References

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