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Selecting a proportion of characters

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Abstract

We use majorizing measures to provide a simpler proof of the following unpublished result of J. Bourgain. For any set of characters on a compact group there exists a subset of proportional size such that, on the span of this subset, thel 1 andl 2 norm are equivalent up to a factorC logn log logn)1/2.

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References

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Authors and Affiliations

  1. Equipe d’Analyse-Tour 46, U.A. au C.N.R.S. n° 754, Université Paris VI, 4 Place Jussieu, 75230, Paris Cedex 05, France

    Michel Talagrand

  2. Department of Mathematics, The Ohio State University, 231 West 18th Avenue, 43210, Columbus, OH, USA

    Michel Talagrand

Authors
  1. Michel Talagrand
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Correspondence to Michel Talagrand.

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Partially supported by an N.S.F. grant.

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Talagrand, M. Selecting a proportion of characters. Israel J. Math. 108, 173–191 (1998). https://doi.org/10.1007/BF02783047

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  • DOI: https://doi.org/10.1007/BF02783047

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