时间：2025年3月21日（星期五）15:30-16:30
地点：E4-233
主讲人: 理论科学研究院 王子鹏
讲座主题：Fractional integration associated with multi-parameter dilations
讲座摘要:
In this talk, we will first briefly review the history of fractional integrals and recall several classical results. Next, we introduce a family of strong fractional integral operators whose kernels have singularity on every coordinate subspace. As a result, we give an extension of Stein-Weiss inequality to the multi-parameter setting. Lastly, we introduce a family of fractional integrals whose kernels satisfy Zygmund dilations. As a result, we obtain a Hardy-Littlewood-Sobolev type inequality.
