Publication
On embeddings of Morrey type spaces between weighted Lebesgue or Stummel spaces with application to Herz spaces
| dc.contributor.author | Rafeiro, Humberto | |
| dc.contributor.author | Samko, Stefan | |
| dc.date.accessioned | 2021-09-08T10:57:50Z | |
| dc.date.available | 2021-09-08T10:57:50Z | |
| dc.date.issued | 2021-07 | |
| dc.description.abstract | We study embeddings of Morrey type spaces M-p,M-q,M-omega(R-n), 1 <= p < infinity, 1 <= q < infinity, both local and global, into weighted Lebesgue spaces L-p(R-n, w), with the main goal to better understand the local behavior of functions f is an element of M-p,M-q,M-omega(R-n) and also their behavior at infinity. Under some assumptions on the function omega, we prove that the local Morrey type space is embedded into L-p(R-n, w), where w(r) = omega(r) if q = 1, and w(r) is "slightly distorted" in comparison with omega(r) if q > 1. In the case q > p we show that the embedding, in general, cannot hold with omega = w. For global Morrey type spaces we also prove embeddings into Stummel spaces. Similar embeddings for complementary Morrey type spaces are obtained. We also study inverse embeddings of weighted Lebesgue spaces L-p(R-n, w) into Morrey type and complementary Morrey type spaces. Finally, using our previous results on relations between Herz and Morrey type spaces, we obtain "for free" similar embeddings for Herz spaces. | |
| dc.description.sponsorship | Start-up Grant of United Arab Emirates University, Al Ain, United Arab Emirates [G00002994]; Russian Foundation for Basic ResearchRussian Foundation for Basic Research (RFBR) [19-01-00223]; TUBITAK and Russian Foundation for Basic researchTurkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK) [20-51-46003] | |
| dc.identifier.doi | 10.1007/s43037-021-00128-8 | |
| dc.identifier.issn | 2662-2033 | |
| dc.identifier.uri | http://hdl.handle.net/10400.1/16952 | |
| dc.language.iso | eng | |
| dc.peerreviewed | yes | |
| dc.publisher | SPRINGER BASEL AG | |
| dc.subject | Morrey type spaces | |
| dc.subject | Weighted Lebesgue spaces | |
| dc.subject | Embeddings | |
| dc.subject | Stummel spaces | |
| dc.subject | Herz spaces | |
| dc.subject.other | Mathematics | |
| dc.title | On embeddings of Morrey type spaces between weighted Lebesgue or Stummel spaces with application to Herz spaces | |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.issue | 3 | |
| oaire.citation.startPage | 48 | |
| oaire.citation.title | Banach Journal of Mathematical Analysis | |
| oaire.citation.volume | 15 | |
| 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 | |
| rcaap.rights | restrictedAccess | |
| rcaap.type | article | |
| relation.isAuthorOfPublication | 7c853bfc-1d1b-4bd0-9b94-1005fafbd6a4 | |
| relation.isAuthorOfPublication.latestForDiscovery | 7c853bfc-1d1b-4bd0-9b94-1005fafbd6a4 |
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