Zu Chongzhi Center Mathematics Research Seminar

Date and Time (China standard time): Thursday, November 24, 10:00-11:00 am

Zoom ID: 971 0899 4909

Passcode: dkumath

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

Speaker: Bochen Liu

Bio: Bochen Liu is an associated professor in the math department of Southern University of Science and Technology, whose research interests are harmonic analysis, geometric measure theory, and combinatorics.

Abstract:  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.