@article { author = {Tallab, Abdelhamid and Ferradi, Athmane}, title = {Weakly mid-$(p_{1},\ldots,p_{m})$-summing multilinear operators}, journal = {Khayyam Journal of Mathematics}, volume = {8}, number = {2}, pages = {219-227}, year = {2022}, publisher = {Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures)}, issn = {2423-4788}, eissn = {2423-4788}, doi = {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}, url = {https://www.kjm-math.org/article_154698.html}, eprint = {https://www.kjm-math.org/article_154698_3407c7ef72d03fe9c6e1e16544730029.pdf} }