Publication: A Note on Weighted Sobolev Algebras L-omega(1)(R-d) boolean AND W-k(p)(R-d)
| dc.contributor.author | Gungor, Nihan | |
| dc.contributor.author | Sagir, Birsen | |
| dc.date.accessioned | 2020-06-21T13:41:01Z | |
| dc.date.available | 2020-06-21T13:41:01Z | |
| dc.date.issued | 2015 | |
| dc.department | OMÜ | en_US |
| dc.department-temp | [Gungor, Nihan] Gumushane Univ, Fac Engn, Dept Engn Math, TR-29100 Gumushane, Turkey -- [Sagir, Birsen] Ondokuz Mayis Univ, Dept Math, Fac Sci & Arts, TR-55139 Samsun, Turkey -- | en_US |
| dc.description.abstract | Let 1 <= p < infinity and omega be Beurling's weight function on R-d. In this article, we demonstrate some harmonic properties of Sobolev space W-k(p)(R-d) which consists of all functions on R-d whose weak derivatives up to and including order k belong to L-p( R-d). Also, we deal with some harmonic properties of intersection space A(k,omega)(p)(R-d) = L-omega(1)(R-d) boolean AND W-k(p)(R-d) by aid of Beurling algebra L-omega(1)(R-d) and Sobolev space W-k(p)(R-d). Finally, we research the inclusions and continuous embeddings between the spaces A(k,omega)(p)(Omega) where Omega subset of R-d be open set. | en_US |
| dc.identifier.endpage | 373 | en_US |
| dc.identifier.issn | 0970-1249 | |
| dc.identifier.issn | 2320-3110 | |
| dc.identifier.issue | 4 | en_US |
| dc.identifier.startpage | 361 | en_US |
| dc.identifier.uri | https://hdl.handle.net/20.500.12712/13897 | |
| dc.identifier.volume | 30 | en_US |
| dc.identifier.wos | WOS:000377601200002 | |
| dc.language.iso | en | en_US |
| dc.publisher | Ramanujan Mathematical Soc | en_US |
| dc.relation.journal | Journal of the Ramanujan Mathematical Society | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.title | A Note on Weighted Sobolev Algebras L-omega(1)(R-d) boolean AND W-k(p)(R-d) | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication |