Some Remarks on Spaces of Morrey Type

Abstract

We deepen the study of some Morrey type spaces, denoted by M p , λ (Ω), defined on an unbounded open subset Ω of ℝ n . In particular, we construct decompositions for functions belonging to two different subspaces of M p , λ (Ω), which allow us to prove a compactness result for an operator in Sobolev spaces. We also introduce a weighted Morrey type space, settled between the above‐mentioned subspaces.