### 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) |
---|---|

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 |

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### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

### Cite this

*Proceedings of the American Mathematical Society*,

*135*(1), 87-97. https://doi.org/10.1090/S0002-9939-06-08240-2

**Double logarithmic inequality with a sharp constant.** / Ibrahim, S.; Majdoub, M.; Masmoudi, N.

Research output: Contribution to journal › Article

*Proceedings of the American Mathematical Society*, vol. 135, no. 1, pp. 87-97. https://doi.org/10.1090/S0002-9939-06-08240-2

}

TY - JOUR

T1 - Double logarithmic inequality with a sharp constant

AU - Ibrahim, S.

AU - Majdoub, M.

AU - Masmoudi, N.

PY - 2007/1

Y1 - 2007/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=70350047372&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=70350047372&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-06-08240-2

DO - 10.1090/S0002-9939-06-08240-2

M3 - Article

VL - 135

SP - 87

EP - 97

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 1

ER -