Dipartimento di Matematica e Informatica, Università di Salerno, Via Ponte Don Melillo, 84084 Fisciano (SA), Italy
Copyright © 2010 Loredana Caso et al. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We deepen the study of some Morrey type
spaces, denoted by , defined on an unbounded open subset of . In particular, we construct decompositions for functions belonging to two different
subspaces of , 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.