The closedness of shift invariant subspaces in Lp,q(Rd+1) $L^{p,q} (\mathbb{R}^{d+1} )$

The closedness of shift invariant subspaces in Lp,q(Rd+1) $L^{p,q} (\mathbb{R}^{d+1} )$

Abstract In this paper, we consider the closedness of shift invariant subspaces in Lp,q(Rd+1) $L^{p,q} (\mathbb{R}^{d+1} )$. We first define the shift invariant subspaces generated by the shifts of finite functions in Lp,q(Rd+1) $L^{p,q} (\mathbb{R}^{d+1} )$. Then we give some necessary and sufficie...

Full description

Bibliographic Details
Main Author: Qingyue Zhang
Format: Article
Language:English
Published: SpringerOpen 2018-07-01
Series:Journal of Inequalities and Applications
Subjects:
Mixed Lebesgue spaces L p , q ( R d + 1 ) $L^{p,q} (\mathbb{R}^{d+1} )$
Closedness of shift invariant subspaces
Shift invariant subspaces
Online Access:http://link.springer.com/article/10.1186/s13660-018-1755-2

Internet

http://link.springer.com/article/10.1186/s13660-018-1755-2

Similar Items