Time：15:30-16:30, Friday, March 21 2025
Venue：E4-233
Speaker: Zipeng Wang, ITS
Title：Fractional integration associated with multi-parameter dilations
Abstract:
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.
