The purpose of this article is to obtain a multidimensional extension of Lacey and Thiele's result on the boundedness of a model sum which plays a crucial role in the boundedness of the bilinear Hilbert transform in one dimension. This proof is a simplification of the original proof of Lacey and Thiele modeled after the presentation of Bilyk and Grafakos.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm179-2-5,
author = {Erin Terwilleger},
title = {Boundedness for a bilinear model sum operator on Rn},
journal = {Studia Mathematica},
volume = {178},
year = {2007},
pages = {185-197},
zbl = {1282.42017},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm179-2-5}
}
Erin Terwilleger. Boundedness for a bilinear model sum operator on ℝⁿ. Studia Mathematica, Tome 178 (2007) pp. 185-197. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm179-2-5/