@article{Dahia_Hamidi_2021, title={Lipschitz integral operators represented by vector measures}, volume={22}, url={https://polipapers.upv.es/index.php/AGT/article/view/15061}, DOI={10.4995/agt.2021.15061}, abstractNote={<p>In this paper we introduce the concept of Lipschitz Pietsch-p-integral <br />mappings, (1≤p≤âˆž), between a metric space and a Banach space. We represent these mappings by an integral with respect to a vector<br />measure defined on a suitable compact Hausdorff space, obtaining in this way a rich factorization theory through the classical Banach spaces C(K), L_p(μ,K) and L_âˆž(μ,K). Also we show that this type of operators fits in the theory of composition Banach Lipschitz operator ideals. For p=âˆž, we characterize the Lipschitz Pietsch-âˆž-integral mappings by a factorization schema through a weakly compact operator. Finally, the relationship between these mappings and some well known Lipschitz operators is given.</p>}, number={2}, journal={Applied General Topology}, author={Dahia, Elhadj and Hamidi, Khaled}, year={2021}, month={Oct.}, pages={367–383} }