Abstract
We establish an L2 × 2 to 1 estimate for the bilinear Hilbert transform along a curve defined by a monomial. Our proof is closely related to multilinear oscillatory integrals.
Original language | English (US) |
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Pages (from-to) | 197-221 |
Number of pages | 25 |
Journal | Analysis and PDE |
Volume | 6 |
Issue number | 1 |
DOIs | |
State | Published - 2013 |
Keywords
- Bilinear Hilbert transform along curves
ASJC Scopus subject areas
- Analysis
- Numerical Analysis
- Applied Mathematics