We prove that an almost diagonal condition on the (m + 1)-linear tensor associated to an m-linear operator implies boundedness of the operator on products of classical function spaces. We then provide applications to the study of certain singular integral operators.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm164-1-5,
author = {\'Arp\'ad B\'enyi and Nikolaos Tzirakis},
title = {Multilinear almost diagonal estimates and applications},
journal = {Studia Mathematica},
volume = {162},
year = {2004},
pages = {75-89},
zbl = {1052.47057},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm164-1-5}
}
Árpád Bényi; Nikolaos Tzirakis. Multilinear almost diagonal estimates and applications. Studia Mathematica, Tome 162 (2004) pp. 75-89. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm164-1-5/