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

Document Type : Original Article

Authors

Abdelhamid Tallab

Athmane Ferradi

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

10.22034/kjm.2022.301446.2359

Abstract

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.

Keywords

Dominated miltilinear operators

weakly mid-p-summing operators

mid p-summable sequences

Pietsch domination theorem

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