Cohen Positive Strongly p -Summing and p -Dominated m-Homogeneous Polynomials

Abstract

We introduce the concepts of Cohen positive strongly $p$ -summing and positive $p$ -dominated m-homogeneous polynomials. The version of Pietsch’s domination theorem for the first class among other results and a Bu-type theorem is proved, as well as some inclusions with other known spaces. Moreover, we present a characterization of these classes in tensor terms.