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Some Remarks on Spaces of Morrey Type

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  • Loredana Caso
  • Roberta D′Ambrosio
  • Sara Monsurrò

Abstract

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.

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Handle: RePEc:wly:jnlaaa:v:2010:y:2010:i:1:n:242079
DOI: 10.1155/2010/242079
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