Some Remarks on Spaces of Morrey Type

Loredana Caso, Roberta D′Ambrosio and Sara Monsurrò

Abstract and Applied Analysis, 2010, vol. 2010, issue 1

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.

Date: 2010
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https://doi.org/10.1155/2010/242079

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2010:y:2010:i:1:n:242079

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