Double logarithmic inequality with a sharp constant

S. Ibrahim, M. Majdoub, N. Masmoudi

Research output: Contribution to journalArticlepeer-review


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 languageEnglish (US)
Pages (from-to)87-97
Number of pages11
JournalProceedings of the American Mathematical Society
Issue number1
StatePublished - Jan 2007

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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