Academics

A weighted decoupling inequality and its application to the maximal Bochner-Riesz problem

Time:Tues.,15:00-16:00, July 2, 2024

Venue:B627, Shuangqing Complex Building A 清华大学双清综合楼A座B627

Speaker:Shengwen Gan 甘盛文(University of Wisconsin System)

Abstract:

We prove some weighted Lpℓp-decoupling estimates when p=2n/(n−1). As an application, we give a result beyond the real interpolation exponents for the maximal Bochner-Riesz operator in R3. We also make an improvement in the planar case.

DATEJuly 1, 2024
SHARE
Related News
    • 0

      An irregular Deligne-Simpson problem and Cherednik algebras

      AbstractThe Deligne-Simpson problem asks for a criterion of the existence of connections on an algebraic curve with prescribed singularities at punctures. We give a solution to a generalization of this problem to G-connections on P^1 with a regular singularity and an irregular singularity (satisfying a condition called isoclinic). Here G can be any complex reductive group. Perhaps surprisingly,...

    • 1

      Dynamic Stochastic Variational Inequalities and Their Applications in AI

      Speaker:Xiaojun Chen (The Hong Kong Polytechnic University)Time:Fri., 16:00-17:00, May 30, 2025Venue:C548, Shuangqing Complex Building AAbstract:The dynamic stochastic variational inequality (DSVI) is an ordinary differential equation whose right-hand side is defined by the two-stage stochastic variational inequality (SVI). The DSVI provides a unified modelling framework for various applica...