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Concentration on the ℓ n p ball

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Geometric Aspects of Functional Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1745))

Abstract

We prove a concentration inequality for functions, Lipschitz with respect to the Euclidean metric, on the ball of ℓ n p , 1 ≤ p < 2 equipped with the normalized Lebesgue measure.

The first author was supported in part by BSF. The second author was supported in part by BSF and NSF.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Weizmann Institute of Science, Rehovot, Israel

    G. Schechtman

  2. Department of Mathematics, Texas A&M University, College Station, Texas, USA

    J. Zinn

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  1. G. Schechtman
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  2. J. Zinn
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Vitali D. Milman Gideon Schechtman

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© 2000 Springer-Verlag

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Schechtman, G., Zinn, J. (2000). Concentration on the ℓ n p ball. In: Milman, V.D., Schechtman, G. (eds) Geometric Aspects of Functional Analysis. Lecture Notes in Mathematics, vol 1745. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0107218

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  • DOI: https://doi.org/10.1007/BFb0107218

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41070-6

  • Online ISBN: 978-3-540-45392-5

  • eBook Packages: Springer Book Archive

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