题目：Multilinear weighted estimates in product spaces
时间：2021年7月27日 15:00到 16: 30
摘要：In the one-parameter situation, the very influential paper by Lerner et. al. introduced the Muckenhoupt weights in the multilinear setting and it was shown that one can get related weighted estimates for the maximal function and singular integrals. Around 10 years ago, such class of weights were also introduced in the multilinear multi-parameter context, however, the related weighted estimates were only known for the maximal function. In this talk, I will talk about the recent progress on the multilinear weighted estimates for singular integrals in product spaces. Our result completes the qualitative weighted theory in this setting. Extrapolation gives powerful applications – for example, a free access to mixed-norm estimates in the full range of exponents.
报告人简介: 李康伟，于2016年在南开大学取得博士学位，之后分别在芬兰赫尔辛基大学和西班牙巴斯克数学中心做博士后，现为天津大学数学应用数学中心特聘教授。主要研究方向为调和分析，成果发表于Adv. Math、JMPA、Math. Ann.、IMRN、JFA、Transaction.AMS、MRL等国际权威期刊。