Mixed-norm of orthogonal projections and analytic interpolation on dimensions of measures

Abstract

We obtain new results on mixed-norm estimates of orthogonal projections. In the proof we interpolate analytically, not only on $p,q$, but also on dimensions of measures. We also introduce a new quantity called $s$-amplitude, to present our results and illustrate our ideas. This mechanism provides new perspectives on operators with measures, thus has its own interest.

Speaker

Liu Bochen

Home Page：

https://faculty.sustech.edu.cn/liubc/