科学研究
报告题目:

Sharp Constant for Generalized Hardy-Littlewood-Sobolev Inequality

报告人:

燕敦验 教授(中国科学院大学)

报告时间:

报告地点:

腾讯会议 ID:466 793 007

报告摘要:

In this talk, we investigate some necessary and sufficient conditions which ensure the validity of the k-Fold Beta integral formula. That is, the k-Fold Beta integral equation is as follows

where $x^{i}\in \mathbb{R}^n$ $d_i$ is nonzero real number, with $i=1,\cdots,k$.

Actually, we completely answer the question raised by Grafakos. For some cases, we will prove that the constant number $C_{d_1,\cdots,d_k,n}$ is just the sharp bound of the following generalized Hardy-Littlewood -Sobolev inequality:

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