Weighted inequality of fractional integrals on product spaces
Dr. Zipeng Wang
2024-06-12 10:30-11:30
MCM110
Speaker: Dr. Zipeng Wang (Westlake University)Time: 10:30-11:30 June 12, 2024 (Wednesday)
Venue: MCM110
Title: Weighted inequality of fractional integrals on product spaces
Abstract:
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.
