Abstract
We introduce a class of tri-linear operators that combine features of the bilinear Hilbert transform and paraproduct. For two instances of these operators, we prove boundedness property in a large range D={(p1,p2,p3)∈ℝ3:1<p1,p2<∞,1p1+1p2<32,1<p3<∞}.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 29-41 |
| Number of pages | 13 |
| Journal | Acta Mathematica Sinica, English Series |
| Volume | 34 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 1 2018 |
Keywords
- Bilinear Hilbert transform
- paraproduct
- tri-linear operators
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics