Colloquium| Institute of Mathematical Sciences
Time: Wednesday, May 29th, 2024 , 16:00-17:00
Location：IMS, RS408
Speaker: Danqing He, Fudan University
Abstract: The convergence of Fourier series is an important topic of harmonic analysis. The study of this problem is closely related to conjectures in fields from number theory to PDE. The trace inequalities, which can be viewed as weighted restricition estimates, play an important role in establishing the pointwise convergence of Bochner-Riesz means. We developed this theory by establishing trace inequalities of cones with appropriate weights, which led to pointwise convergence of cone multipliers. This is joint work with P. Chen, X. Li, and L. Yan.