Generalized Grand Lebesgue Spaces Associated to Banach Function spaces

In this paper we introduce the class of grand Lebesgue spaces associated to a Banach function space X by replacing the role of the L^۱-norm by the norm \|\cdot\|_X in the classical construction of the generalized grand Lebesgue spaces. Also, we study the inclusion property of these spaces.

کلیدواژه ها:

Grand Lebesgue spaces ، Banach function spaces ، inclusion ، Young function ، Orlicz spaces