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Quanhua Xu

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

    Fri, 04/15/2011 - 15:01 — SomNambul
    Authors: Denis Potapov, Fedor Sukochev, Quanhua Xu
    Subjects: Functional Analysis
    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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