Inclusion theorems for grand Lorentz spaces

Abstract

In this paper, we consider some inclusion theorems for grand Lorentz spaces $L^{p,q)}\left(X,\mu \right)$ and ${\Lambda }_{p),\omega }$ where $\mu$ is a finite measure on $\left(X,\Sigma \right).$ Moreover, we consider the problem of the convergence of approximate identities in these spaces.

11 pages