On the volume of the intersection of two $L^ n_ p$ balls
HTML articles powered by AMS MathViewer
- by G. Schechtman and J. Zinn
- Proc. Amer. Math. Soc. 110 (1990), 217-224
- DOI: https://doi.org/10.1090/S0002-9939-1990-1015684-0
- PDF | Request permission
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
- Vitali D. Milman and Gideon Schechtman, Asymptotic theory of finite-dimensional normed spaces, Lecture Notes in Mathematics, vol. 1200, Springer-Verlag, Berlin, 1986. With an appendix by M. Gromov. MR 856576
Bibliographic Information
- © Copyright 1990 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 110 (1990), 217-224
- MSC: Primary 46B20
- DOI: https://doi.org/10.1090/S0002-9939-1990-1015684-0
- MathSciNet review: 1015684