Weakly mid-$(p_{1},\ldots,p_{m})$-summing multilinear operators

Document Type : Original Article


University of M'sila, Laboratoire d'Analyse Fonctionnelle et G\'{e}om\'{e}trie des Espaces, Box 166, Ichbilia, M'sila, 28000, Algeria



In this paper, we introduce the new ideal of the weakly mid-$(p1,...,pm)$-summing multilinear operators as multilinear version of weakly mid-p- summing linear operators. Using the space of mid-p-summable sequences, we present a characterization given by summability property. Also, we give an analogue of the Pietsch domination theorem for this new class of operators.