## Abstract

The normalised volume measure on the ℓ_{p}^{n} unit ball (1 ≤ p ≤ 2) satisfies the following isoperimetric inequality: the boundary measure of a set of measure a is at least cn^{1/p}a log ^{1-1/p}(1/a) , where a = min(a, 1 -a) .

Original language | English |
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Pages (from-to) | 362-373 |

Number of pages | 12 |

Journal | Annales de l'institut Henri Poincare (B) Probability and Statistics |

Volume | 44 |

Issue number | 2 |

DOIs | |

State | Published - Apr 2008 |

## Keywords

- Isoperimetric inequalities
- Volume measure

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