A note on two scale compactness for $p = 1$
Laura Bufford, Irene Fonseca · Portugaliae Mathematica · 2015
In this paper the notion of two-scale convergence introduced by G. Nguetseng and G. Allaire is extended to the case of bounded sequences in L^1(\Omega) , where \Omega is any open subset of \mathbb{R}^N . Three different approaches will be considered: an adaptation of the method used in L^p(\Omega) with p>1 , a measure-theoretic argument, and the periodic unfolding technique.