The paper studies Banach spaces satisfying the Littlewood–Paley–Rubio de Francia property LPR, . The paper shows that every Banach lattice whose 2-concavification is a UMD Banach lattice has this property. The paper also shows that every space having LPR also has LPR with .
Cite this article
Denis Potapov, Fedor Sukochev, Quanhua Xu, On the vector-valued Littlewood–Paley–Rubio de Francia inequality. Rev. Mat. Iberoam. 28 (2012), no. 3, pp. 839–856DOI 10.4171/RMI/693