The Bi-Carleson operator
Classical Analysis and ODEs
2007-05-23 v2
Abstract
We prove estimates for the Bi-Carleson operator, which is a natural hybrid of the Carleson maximal operator and the bilinear Hilbert transform. The methods used are essentially based on the treatment of the Walsh analogue of the operator in the prequel of this paper, but with additional technicalities due to the fact that in the Fourier model one cannot obtain perfect localization in both space and frequency.
Cite
@article{arxiv.math/0409406,
title = {The Bi-Carleson operator},
author = {Camil Muscalu and Terence Tao and Christoph Thiele},
journal= {arXiv preprint arXiv:math/0409406},
year = {2007}
}
Comments
44 pages, 3 figures, to appear, GAFA. This is the final version, incorporating referee suggestions