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## On the vector-valued Littlewood-Paley-Rubio de Francia inequality

### Abstract

The paper studies Banach spaces satisfying the Littlewood-Paley-Rubio de Francia property LPR_p, 2 \leq p < \infty. 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_q also has LPR_p with q \leq p < \infty

Topics: Mathematics - Functional Analysis
Year: 2011
OAI identifier: oai:arXiv.org:1104.2671