中国科学院数学与系统科学研究院
数学研究所
学术报告
调和分析和偏微分方程研讨班
Speaker: 李康伟（天津大学）
Title: Commutators along monomial curves
Time&Venue: 2024年11月20日（星期三） 16:00-17:00 & S813
Abstract:
In this talk, I will introduce our recent work about the characterization of BMO spaces associated with curves. This completes the Lp boundedness theory of commutators of Hilbert transforms along monomial curves by providing the previously missing lower bounds. This optimal result now covers all monomial curves while previous results had significant geometric restrictions. We also, for the first time, develop the corresponding necessity theory for curves with non-vanishing torsion.
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