Publication: Sobolev Type Spaces Based on Lorentz-Karamata Spaces
| dc.authorscopusid | 24176919100 | |
| dc.contributor.author | Eryilmaz, İ. | |
| dc.date.accessioned | 2020-06-21T13:39:26Z | |
| dc.date.available | 2020-06-21T13:39:26Z | |
| dc.date.issued | 2016 | |
| dc.department | Ondokuz Mayıs Üniversitesi | en_US |
| dc.department-temp | [Eryilmaz] I., Department of Mathematics, Ondokuz Mayis Üniversitesi, Samsun, Turkey | en_US |
| dc.description.abstract | In this paper, firstly Lorentz-Karamata-Sobolev spaces Wk<inf>L(p;q;b)</inf> (ℝn) of integer order are introduced and some of their important properties are emphasized. Also, Banach spaces Ak<inf>L(p;q;b)</inf> (ℝn) = L1 (ℝn) ∩ Wk<inf>L(p;q;b)</inf> (ℝn) (Lorentz-Karamata-Sobolev algebras) are studied. Using a result of H.C. Wang, it is showed that Banach convolution algebras Ak<inf>L(p;q;b)</inf> (ℝn) don’t have weak factorization and the multiplier algebra of Ak L(p;q;b) (Rn) coincides with the measure algebra M(ℝn) for 1 < p < 1 and 1 ≤ q < ∞. © 2016, University of Nis. All rights reserved. | en_US |
| dc.identifier.doi | 10.2298/FIL1611023E | |
| dc.identifier.endpage | 3032 | en_US |
| dc.identifier.issn | 0354-5180 | |
| dc.identifier.issue | 11 | en_US |
| dc.identifier.scopus | 2-s2.0-85008397788 | |
| dc.identifier.scopusquality | Q3 | |
| dc.identifier.startpage | 3023 | en_US |
| dc.identifier.uri | https://doi.org/10.2298/FIL1611023E | |
| dc.identifier.volume | 30 | en_US |
| dc.identifier.wos | WOS:000393212700014 | |
| dc.identifier.wosquality | Q2 | |
| dc.institutionauthor | Eryilmaz, İ. | |
| dc.language.iso | en | en_US |
| dc.publisher | University of Nis filomat@pmf.ni.ac.rs | en_US |
| dc.relation.ispartof | Filomat | en_US |
| dc.relation.journal | Filomat | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | FP-Algebra | en_US |
| dc.subject | Lorentz-Karamata Space | en_US |
| dc.subject | Slowly Varying Function | en_US |
| dc.subject | Sobolev Space | en_US |
| dc.subject | Weak Factorization | en_US |
| dc.title | Sobolev Type Spaces Based on Lorentz-Karamata Spaces | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication |