Domination and Factorization of Multilinear Operators

[EN] We study multilinear operators from quasi-Banach lattices to quasi-Banach spaces. We prove that certain vector valued norm inequalities for these operators are equivalent to domination theorems. As an application we show that under some mild assumptions these domination theorems can be expressed in terms of factorization through Orlicz spaces. In the case of the multilinear functionals on C(K)-spaces we recover a multilinear variant of the Grothendieck factorization theorem.The first named author was supported by the National Science Centre (NCN), Poland, grant no. 2011/01/B/ST1/06243. The second named author was supported by the Ministerio de Econom´ıa y Competitividad under grant #MTM2012-36740-C02-02.Mastylo, M.; Sánchez Pérez, EA. (2013). Domination and Factorization of Multilinear Operators. Journal of Convex Analysis. 20(4):999-1012. http://hdl.handle.net/10251/48941999101220