We survey the theory of multilinear singular integral operators with modulation symmetry. The basic example for this theory is the bilinear Hilbert transform and its multilinear variants. We outline a proof of boundedness of Carleson's operator which shows the close connection of this operator to multilinear singular integrals. We discuss particular multilinear singular integrals which historically arose in the study of eigenfunctions of Schrödinger operators.
[Proceedings of the 6th International Conference on Harmonic Analysis and Partial Differential Equations, El Escorial (Madrid), 2002].
@article{urn:eudml:doc:41615,
title = {Multilinear singular integrals.},
journal = {Publicacions Matem\`atiques},
volume = {46},
year = {2002},
pages = {229-274},
zbl = {1035.42011},
mrnumber = {MR1964823},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41615}
}
Thiele, Christoph M. Multilinear singular integrals.. Publicacions Matemàtiques, Tome 46 (2002) pp. 229-274. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41615/