On the closure of the Lizorkin space in spaces of Beppo Levi type
Tom 150 / 2002
Studia Mathematica 150 (2002), 99-120 MSC: 31B99, 46E35. DOI: 10.4064/sm150-2-1
The purpose of this paper is to give a characterization of the closure of the Lizorkin space in spaces of Beppo Levi type. As preparations for the proof, we establish the invariance of the Lizorkin space, and give local integral representations for smooth functions.