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

Khayyam Journal of Mathematics

article

Abdelhamid Tallab¹  Athmane Ferradi¹ 

[1] University of M'sila, Laboratoire d'Analyse Fonctionnelle et G\'{e}om\'{e}trie des Espaces

关键词: Dominated miltilinear operators;    weakly mid-p-summing operators;    mid p-summable sequences;    Pietsch domination theorem;   

DOI  :  10.22034/kjm.2022.301446.2359

学科分类：公共、环境与职业健康

来源: Ferdowsi University of Mashhad

【 摘 要 】

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.

【 授权许可】

CC BY-NC