$\tau (p;q)$-summing mappings and the domination theorem

Abstract

We extend the concept of $\tau$-summing operators presented by Pietsch in his monograph on Operator Ideals to multilinear mappings and polynomials. We also present a domination theorem for $\tau (p)$-summing mappings and polynomials, showing their relation with $p$-semi-integral mappings and polynomials.