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.
Tallab, A., Ferradi, A. (2022). 'Weakly mid-$(p_{1},\ldots,p_{m})$-summing multilinear operators', Khayyam Journal of Mathematics, 8(2), pp. 219-227. doi: 10.22034/kjm.2022.301446.2359
VANCOUVER
Tallab, A., Ferradi, A. Weakly mid-$(p_{1},\ldots,p_{m})$-summing multilinear operators. Khayyam Journal of Mathematics, 2022; 8(2): 219-227. doi: 10.22034/kjm.2022.301446.2359