Rui Liu

most citedUpper and lower estimates for schauder frames and atomic decompositions

2 citations · 3 across the 2 of their papers we have counts for

collaborators

2 papers

math.FA2012★ 1 cited

Upper Beurling Density of Systems formed by Translates of finite Sets of Elements in $L^{p} (R^{d})$

Bei Liu, Rui Liu

In this paper, we prove that if a finite disjoint union of translates $⋃_{k = 1}^{n} {f_{k} (x - γ)}_{γ \in Γ_{k}}$ in $L^{p} (R^{d})$ $(1 < p < \infty)$ is a $p^{'}$ -Bessel sequence for some $1<p'…

math.FA2012★ 2 cited

Upper and lower estimates for schauder frames and atomic decompositions

Kevin Beanland, Daniel Freeman, Rui Liu

We prove that a Schauder frame for any separable Banach space is shrinking if and only if it has an associated space with a shrinking basis, and that a Schauder frame for any separ…

Upper Beurling Density of Systems formed by Translates of finite Sets of Elements in Lp(Rd)

Upper and lower estimates for schauder frames and atomic decompositions

Upper Beurling Density of Systems formed by Translates of finite Sets of Elements in $L^{p} (R^{d})$