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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.

journal of mathematics

Cohen Positive Strongly <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mi>p</mi> </math>-Summing and <math xmlns="http://www.w3.org/1998/Math/MathML" id="M2"> <mi>p</mi> </math>-Dominated m-Homogeneous Polynomials

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

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