Title:UMD-valued extension of multilinear singular integrals
Speaker:Kangwei Li (Tianjin University)
Time:16:00-17:00, December3
Location:Tecent Meeting, Tecent Meeting ID: 960 167 002, Password: 123456
Abstract:In this talk, I will present our recent progress on the boundedness of UMD-valued extension of multilinear singular integrals. I will mainly focus on the bilinear setting, in which case we obtain the boundedness with minimal assumption on the product structure of the tuple of UMD spaces. As a direct corollary we get the boundedness of bilinear singular integrals on non-commutative $L^p$ spaces. Moreover, we also get the Leibniz rules in the UMD-valued setting. This talk is based on the recent joint work with Francesco Di Plinio, Henri Martikainen and Emil Vuorinen.