Abstract
In this paper we introduce and study a new class containing the class of absolutely summing multilinear mappings, which we call absolutely (p;q1,…,qm;r)-summing multilinear mappings. We investigate some interesting properties concerning the absolutely (p;q1,…,qm;r)-summing m-linear mappings defined on Banach spaces. In particular, we prove a kind of Pietsch’s Domination Theorem and a multilinear version of the Factorization Theorem.
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