Publication
Embeddings of local generalized Morrey spaces between weighted Lebesgue spaces
| dc.contributor.author | Almeida, Alexandre | |
| dc.contributor.author | Samko, Stefan | |
| dc.date.accessioned | 2019-11-20T15:07:15Z | |
| dc.date.available | 2019-11-20T15:07:15Z | |
| dc.date.issued | 2017-11 | |
| dc.description.abstract | We prove that local generalized Morrey spaces are closely embedded between weighted Lebesgue spaces. We show that such embeddings are strict in all the cases under consideration by constructing counterexamples. As a consequence, continuous embeddings between generalized Morrey spaces and generalized Stummel spaces are established, as well as between Stummel classes (vanishing Stummel spaces). In particular, we obtain embeddings into a new Stummel class of functions with some vanishing property at infinity. We also partially improve a known result on the coincidence of Stummel spaces with a modification of Morrey spaces where the supremum norm is replaced by an integral L-p-norm. (C) 2017 Elsevier Ltd. All rights reserved. | |
| dc.description.sponsorship | Portuguese Foundation for Science and Technology (FCT-Fundacao para a Ciencia e a Tecnologia), through CIDMA- Center for Research and Development in Mathematics and Applications [UID/MAT/04106/2013] | |
| dc.description.sponsorship | Russian Foundation for Basic Research [15-01-02732] | |
| dc.identifier.doi | 10.1016/j.na.2017.08.006 | |
| dc.identifier.issn | 0362-546X | |
| dc.identifier.issn | 1873-5215 | |
| dc.identifier.uri | http://hdl.handle.net/10400.1/12947 | |
| dc.language.iso | eng | |
| dc.peerreviewed | yes | |
| dc.publisher | Pergamon-Elsevier Science Ltd | |
| dc.title | Embeddings of local generalized Morrey spaces between weighted Lebesgue spaces | |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/5876/UID%2FMAT%2F04106%2F2013/PT | |
| oaire.citation.endPage | 76 | |
| oaire.citation.startPage | 67 | |
| oaire.citation.title | Nonlinear Analysis-Theory Methods & Applications | |
| oaire.citation.volume | 164 | |
| oaire.fundingStream | 5876 | |
| person.familyName | Samko | |
| person.givenName | Stefan | |
| person.identifier.orcid | 0000-0002-8022-2863 | |
| person.identifier.rid | M-3726-2013 | |
| person.identifier.scopus-author-id | 6603416048 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| rcaap.rights | restrictedAccess | |
| rcaap.type | article | |
| relation.isAuthorOfPublication | 7c853bfc-1d1b-4bd0-9b94-1005fafbd6a4 | |
| relation.isAuthorOfPublication.latestForDiscovery | 7c853bfc-1d1b-4bd0-9b94-1005fafbd6a4 | |
| relation.isProjectOfPublication | 20b56a8a-af25-426f-8acc-3a59c9bcfd50 | |
| relation.isProjectOfPublication.latestForDiscovery | 20b56a8a-af25-426f-8acc-3a59c9bcfd50 |
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