Speaker: 李康伟，天津大学

Inviter: 范晨捷副研究员

Title: Commutators along monomial curves

Language: Chinese

Time & Venue: 2024.11.20 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.