Abstract
We prove the boundedness of a class of tri-linear operators consisting of a quasi piece of bilinear Hilbert transform whose scale equals to or dominates the scale of its linear counter part. Such type of operators is motivated by the tri-linear Hilbert transform and its curved versions.
Original language | English (US) |
---|---|
Pages (from-to) | 224-246 |
Number of pages | 23 |
Journal | Journal of Geometric Analysis |
Volume | 29 |
Issue number | 1 |
DOIs | |
State | Published - Jan 15 2019 |
Externally published | Yes |
Keywords
- Bilinear Hilbert transform
- Paraproduct
- Tri-linear operators
ASJC Scopus subject areas
- Geometry and Topology