Uniform estimates for some paraproducts

Abstract

We establish $L^p\times L^q$ to $L^r$ estimates for some paraproducts, which arise in the study of the bilinear Hilbert transform along curves.

37 pages

References in corpus (1)

• A bilinear oscillatory integral along parabolas

Cited by in corpus (3)

• Paraproducts for bilinear multipliers associated with convex sets
• Bilinear Hilbert Transforms and (Sub)Bilinear Maximal Functions along Convex Curves
• Bilinear Fourier restriction theorems