Some Remarks on Spaces of Morrey Type
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. W...
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2010/242079 |
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| _version_ | 1832551178804658176 |
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| author | Loredana Caso Roberta D'Ambrosio Sara Monsurrò |
| author_facet | Loredana Caso Roberta D'Ambrosio Sara Monsurrò |
| author_sort | Loredana Caso |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-489ac884a717409eb6de2186469ac2e3 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-489ac884a717409eb6de2186469ac2e32025-02-03T06:04:42ZengWileyAbstract and Applied Analysis1085-33751687-04092010-01-01201010.1155/2010/242079242079Some Remarks on Spaces of Morrey TypeLoredana Caso0Roberta D'Ambrosio1Sara Monsurrò2Dipartimento di Matematica e Informatica, Università di Salerno, Via Ponte Don Melillo, 84084 Fisciano (SA), ItalyDipartimento di Matematica e Informatica, Università di Salerno, Via Ponte Don Melillo, 84084 Fisciano (SA), ItalyDipartimento di Matematica e Informatica, Università di Salerno, Via Ponte Don Melillo, 84084 Fisciano (SA), ItalyWe 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.http://dx.doi.org/10.1155/2010/242079 |
| spellingShingle | Loredana Caso Roberta D'Ambrosio Sara Monsurrò Some Remarks on Spaces of Morrey Type Abstract and Applied Analysis |
| title | Some Remarks on Spaces of Morrey Type |
| title_full | Some Remarks on Spaces of Morrey Type |
| title_fullStr | Some Remarks on Spaces of Morrey Type |
| title_full_unstemmed | Some Remarks on Spaces of Morrey Type |
| title_short | Some Remarks on Spaces of Morrey Type |
| title_sort | some remarks on spaces of morrey type |
| url | http://dx.doi.org/10.1155/2010/242079 |
| work_keys_str_mv | AT loredanacaso someremarksonspacesofmorreytype AT robertadambrosio someremarksonspacesofmorreytype AT saramonsurro someremarksonspacesofmorreytype |