Abstract：The Brascamp-Lieb inequalities are deep and beautiful inequalities on Euclidean spaces introduced by Brascamp and Lieb in 1976. They cover many fundamental and important inequalities such as Hölder's inequality, the Loomis-Whitney inequality, Young's inequality, etc. In this talk we give a short introduction to the Brascamp-Lieb inequalities and their applications. We prove one type o...
摘要：This is an summary talk for Moser-Trudinger inequality. In this talk, I first introduce the classical Moser-Trudinger inequalities in bounded domain and unbounded domain. Then I will present the work on the existence and no-existence for extremals of Moser-Trudinger inequality. The Trace-type Moser-Trudinger inequality in bounded and unbounded domain will be also discussed in this talk. F...
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