Abstract

For , the bilinear Bochner-Riesz operator of order in is defined as

 

For ,  maps into whenever and . Thus, is commonly referred to as the critical index for the bilinear Bochner-Riesz operator. Recently, there have been some results on boundedness of the bilinear Bochner-Riesz operator when .

In this talk, we discuss some results on -boundedness results of bilinear Bochner-Riesz operator and the corresponding Stein's square function.

 

Organizers: Kuan-Wei Chen (NCTS), Wille Liu (AS)