Certain properties of Generalization of $L^p-$Spaces for $0<p<1$

Rabab Elarabi, Mouhssine El-Arabi, Mohamed Rhoudaf

This paper introduces the notion of $N^{\ast }-$function and gives a generalization of $L^p,$ for $0<p<1$ denoted by $L_{\Phi }$ where $\Phi$ is an $N^{\ast }-$function. As well as, this paper examines…