### Abstract

We prove a Log Log inequality with a sharp constant. We also show that the constant in the Log estimate is "almost" sharp. These estimates are applied to prove a Moser-Trudinger type inequality for solutions of a 2D wave equation.

Original language | English (US) |
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Pages (from-to) | 87-97 |

Number of pages | 11 |

Journal | Proceedings of the American Mathematical Society |

Volume | 135 |

Issue number | 1 |

DOIs | |

State | Published - Jan 2007 |

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

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## Cite this

Ibrahim, S., Majdoub, M., & Masmoudi, N. (2007). Double logarithmic inequality with a sharp constant.

*Proceedings of the American Mathematical Society*,*135*(1), 87-97. https://doi.org/10.1090/S0002-9939-06-08240-2