A compact extension of Journé's T1 theorem on product spaces

ANALYSIS SEMINAR

Title：A compact extension of Journé's T1 theorem on product spaces

Speaker: Mingming Cao (Instituto de Ciencias Matemáticas, Spain）

Time: Wednesday, August 30, 2023. 14:30-16:00 

Venue: Mingde Building B201-1

Zoom ID: 949 5369 0376    (Password: 388814))

Abstract:  In the 1980s, David and Journé proved the original $T1$ theorem, which gave a characterization of the $L^2$ boundedness for Calderón–Zygmund operators based on testing conditions. Soon after, using the vector-valued Calderón–Zygmund theory, Journé first established a bi-parameter $T1$ theorem. However, the $T1$ theorem to deduce compactness of multi-parameter singular integrals has been open in the last several years. The purpose of this talk is to develop a general theory of the compactness for a class of bi-parameter singular integrals.

 Recording

More information about the Analysis Seminar can be found here.