On the vector-valued Littlewood–Paley–Rubio de Francia inequality
Denis PotapovUniversity of New South Wales, Sydney, Australia
Fedor SukochevUniversity of New South Wales, Sydney, Australia
Quanhua XuWuhan University, Wuhan, Hubei, China
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