Cohen factorable p-nuclear multilinear operators

Abstract

Basing on the work of Pellegrino et al. on factorable strongly p-summing multilinear operators, we will continue study this class of operators and borrowing the same idea for the category of p-nuclear operators. Therefore, we will construct other multilinear and polynomial ideals for which the most valuable results of the theory of p-nuclear linear operators are available, namely the Pietsch domination theorem and the well known factorization given by Cohen and Kwapien for p-nuclear operators.