S. M. Umarkhadzhiev, “Denseness of the Lizorkin space in grand Lebesgue spaces”, Vladikavkaz. Mat. Zh., 2015, Volume 17, Number 3,Pages <nobr>75

This article is cited in 3 papers

Denseness of the Lizorkin space in grand Lebesgue spaces

S. M. Umarkhadzhiev^ab

^a Academy of Sciences of Chechen Republic, Groznyi, Russia
^b Chechen State University, Groznyi, Russia

Abstract: Denseness of the Lizorkin space in some subspace of a grand Lebesgue space on an open set $\Omega\subseteq\mathbb R^n $ is proved.

Key words: grand Lebesgue space, Lizorkin space, denseness of infinitely differentiable functions.

UDC: 517.518.2

Received: 14.12.2014