On Calderón’s conjecture for the bilinear Hilbert transform

Type: Article

Publication Date: 1998-04-28

Citations: 27

DOI: https://doi.org/10.1073/pnas.95.9.4828

Abstract

We show that the bilinear Hilbert transform defined by maps Lp x Lq into Lr for 1 < p, q </= infinity, 1/p + 1/q = 1/r, and 2/3 < r < infinity.

Locations

  • Proceedings of the National Academy of Sciences - View
  • PubMed Central - View
  • Europe PMC (PubMed Central) - View - PDF
  • PubMed - View

Similar Works

Action Title Year Authors
+ On the bilinear Hilbert transform 1998 Michael T. Lacey
+ $L^{p}$ estimates for the bilinear Hilbert transform for $1/2 2014 Wei Dai
Guozhen Lu
+ On the Boundedness of The Bilinear Hilbert Transform along "non-flat" smooth curves 2011 Victor Lie
+ On the boundedness of the bilinear Hilbert transform along “non-flat” smooth curves. The Banach triangle case $(L^r, 1 ≤ r &lt; \infty)$ 2018 Victor Lie
+ On the Boundedness of The Bilinear Hilbert Transform along "non-flat" smooth curves. The Banach triangle case ($L^r,\: 1\leq r<\infty$) 2015 Victor Lie
+ PDF Chat On the boundedness of the bilinear Hilbert transform along “non-flat” smooth curves 2015 Victor Lie
+ The bilinear Hilbert transform 2013 Camil Muscalu
Wilhelm Schlag
+ On a hybrid of bilinear Hilbert transform and paraproduct 2017 Dong Dong
Xiao Chun Li
+ On Calder\'on's conjecture 1999 Michael T. Lacey
Christoph Thiele
+ On a Convolution Theorem for L(p, q) Spaces 1972 A. P. Blozinski
+ L p Estimates on the Bilinear Hilbert Transform for 2 &lt; p &lt; &amp;#8734 1997 Michael T. Lacey
Christoph Thiele
+ Bilinear Fourier multipliers on Orlicz spaces as a dual space 2025 Serap Öztop
Rüya Üster
+ $L^{p}$ estimates for the bilinear Hilbert transform for $1/2<p\leq2/3$: A counterexample and generalizations to non-smooth symbols 2014 Wei Dai
Guozhen Lu
+ On Calderón's conjecture 1999 Michael T. Lacey
Christoph Thiele
+ PDF Chat The bilinear Hilbert transform is pointwise finite 1997 Michael T. Lacey
+ PDF Chat Uniform Bounds for the Bilinear Hilbert Transforms, II 2006 Xiaochun Li
+ On the Boundedness of The Bilinear Hilbert Transform along "non-flat" smooth curves. The Banach triangle case ($L^r,\: 1\leq r 2015 Victor Lie
+ Uniform estimates for some paraproducts 2008 Xiaochun Li
+ Bilinear Hilbert Transforms and (Sub)Bilinear Maximal Functions along Convex Curves 2020 Junfeng Li
Haixia Yu
+ PDF Chat Bilinear Hilbert transforms and (sub)bilinear maximal functions along convex curves 2021 Junfeng Li
Haixia Yu