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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On the volume of the intersection of two $ L\sp n\sb p$ balls


Authors: G. Schechtman and J. Zinn
Journal: Proc. Amer. Math. Soc. 110 (1990), 217-224
MSC: Primary 46B20
MathSciNet review: 1015684
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Abstract | References | Similar Articles | Additional Information

Abstract: In this note we prove that the proportion of the volume left in the $ L_p^n$ ball after removing a $ t$-multiple of the $ L_q^n$ ball is of order $ {e^{ - c{t^p}{n^{p/q}}}}.$


References [Enhancements On Off] (What's this?)

  • [MS] V. D. Milman and G. Schechtman, Asymptotic theory of finite dimensional normed spaces, Lecture Notes in Math., vol. 1200, Springer-Verlag, New York, 1986. MR 856576 (87m:46038)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1990-1015684-0
PII: S 0002-9939(1990)1015684-0
Article copyright: © Copyright 1990 American Mathematical Society



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