On the vector-valued Littlewood-Paley-Rubio de Francia inequality
Abstract
The paper studies Banach spaces satisfying the Littlewood-Paley-Rubio de Francia property LPRp, 2 ≤ p < ∞. 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 LPRq also has LPRp with q ≤ p < ∞.
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