- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:47
Revista Matemática Iberoamericana
Rev. Mat. Iberoamericana
RMI
0213-2230
2235-0616
General
10.4171/RMI
http://www.ems-ph.org/doi/10.4171/RMI
subscribers
European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society (from 2012)
28
2012
3
On the vector-valued Littlewood–Paley–Rubio de Francia inequality
Denis
Potapov
University of New South Wales, SYDNEY, AUSTRALIA
Fedor
Sukochev
University of New South Wales, SYDNEY, AUSTRALIA
Quanhua
Xu
Wuhan University, WUHAN, HUBEI, CHINA
Littlewood–Paley–Rubio de Francia inequality, UMD space of type 2, Banach lattices
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 $q \leq p < \infty$.
Functional analysis
General
839
856
10.4171/RMI/693
http://www.ems-ph.org/doi/10.4171/RMI/693