学术报告（王子鹏 2024.5.13）

摘要： In this talk, we first briefly review some classical results for weighted inequalities of fractional integrals. Next, we introduce a family of multi-parameter fractional integrals whose kernels have singularity on every coordinate subspace. By considering the weight functions as appropriate powers, we give a characterization between the norm inequality and its associated Muckenhoupt characteristic. As a result, we extend the Stein-Weiss theorem on product spaces. Furthermore, we will discuss some more recent works in this direction and a question remained open.