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arXiv · 1104.2671

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

Denis Potapov·Fedor Sukochev·Quanhua Xu
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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.

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Denis Potapov, Fedor Sukochev, Quanhua Xu. 2011-04-14. On the vector-valued Littlewood-Paley-Rubio de Francia inequality. https://arxiv.org/abs/1104.2671

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