Mixed-norm of Orthogonal Projections and Analytic Interpolation on Dimensions of Measures

Date: 
Friday, 8 July, 2022 - 14:30 - 15:30
Venue: 
LSB 222
Seminar Type: 
Seminar
Speaker Name: 
Prof. Bochen LIU
Affiliation: 
Southern University of Science and Technology
Abstract: 

We obtain new results on mixed-norm of orthogonal 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.