中科院数学与系统科学研究院

数学研究所

调和分析及其应用研究中心

学术报告

调和分析和偏微分方程研讨班

报告人：刘博辰（南科大）

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

时  间：2022.11.30（星期三）16:00-17:00

地  点：腾讯会议：173-232-354

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