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

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

2011-04-14

arxiv.org/abs/1104.2671v1

Mathematics

Functional Analysis

Scientific paper

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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