Some Remarks on Spaces of Morrey Type

الملخص EN

We deepen the study of some Morrey type spaces, denoted by Mp,λ(Ω), defined on an unbounded open subset Ω of ℝn.

In particular, we construct decompositions for functions belonging to two different subspaces of Mp,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.