Plongements de Carleson absolument sommants

We study the Carleson embeddings on the Hardy spaces Hp with p>1. We characterize their membership in the class of r-summing operators for any r≥1. This generalizes in a strong way former results and solves a problem open since the 1970s. This characterization is different in nature according to the value of the couple (p,r). As particular cases, this settles the case of composition and weighted composition operators.