Curved commutators in the plane
Abstract
Abstract We complete the $$L^p$$ L p 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 the previous result assumed the curve to intersect adjacent quadrants of the plane. We also develop, under a qualitative $$\operatorname {BMO}$$ BMO assumption of the symbol, the corresponding quantitative lower bound in the context of curves with non-vanishing torsion.
Fields of Study & Subjects
Differential Equations and Numerical Methods
Publication details
- Journal / source
- Mathematische Annalen
- Volume
- 395
- Issue
- 3
- Publication date
- 20 May 2026
- Language
- EN