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/