Abstract
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.
