THE INCLUSION THEOREMS FOR GENERALIZED VARIABLE EXPONENT GRAND LEBESGUE SPACES

In this paper, we discuss and investigate the existence of the inclusion L-p(.),L-theta (mu) subset of L-q(.),L-theta (nu), where mu and nu are two finite measures on (X, Sigma) Moreover, we show that the generalized variable exponent grand Lebesgue space L-p(.),L-theta (Omega) has a potential-type approximate identity, where Omega is a bounded open subset of R-d.