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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm150-2-1, author = {Takahide Kurokawa}, title = {On the closure of the Lizorkin space in spaces of Beppo Levi type}, journal = {Studia Mathematica}, volume = {151}, year = {2002}, pages = {99-120}, zbl = {0996.46015}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm150-2-1} }
Takahide Kurokawa. On the closure of the Lizorkin space in spaces of Beppo Levi type. Studia Mathematica, Tome 151 (2002) pp. 99-120. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm150-2-1/