报告题目 (Title)：C_p权与Coifman-Fefferman不等式
报告人 (Speaker)：李康伟 研究员（天津大学）
报告时间 (Time)：2021年11月15日(周一) 14:00-16:30
报告地点 (Place)：线上腾讯会议，会议 ID：346 306 079
邀请人(Inviter)：赵发友
主办部门：理学院 数学系
报告摘要：In this talk, we introduce the $C_p$ weighted theory and its connection with the Muckenhoupt’s conjecture. The conjecture is still open, but we provide a counterexample which shows that $C_p$ weights do not enjoy self-improvement property in any dimension. This reveals that a classical result by Sawyer is not enough to conclude the conjecture. Moreover, we provide a new method to prove Coifman-Fefferman inequalities which does not rely on the good-lambda type inequalities. In particular, we are able to prove the Coifman-Fefferman inequalities for the rough homogeneous singular integrals involving $C_p$ weights.
