On the vector-valued Littlewood-Paley-Rubio de Francia inequality
Functional Analysis
2011-04-15 v1
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.
Keywords
Cite
@article{arxiv.1104.2671,
title = {On the vector-valued Littlewood-Paley-Rubio de Francia inequality},
author = {Denis Potapov and Fedor Sukochev and Quanhua Xu},
journal= {arXiv preprint arXiv:1104.2671},
year = {2011}
}