This is an announcement for the paper "On the vector-valued Littlewood-Paley-Rubio de Francia inequality" by Denis Potapov, Fedor Sukochev, and Quanhua Xu.

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.

Archive classification: math.FA

Submitted from: d.potapov@unsw.edu.au

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1104.2671

or

http://arXiv.org/abs/1104.2671