Publication: A Note on Weighted Sobolev Algebras L1?(?d) ? Wpk (?d)
| dc.contributor.author | Güngör N. | |
| dc.contributor.author | S?gir B. | |
| dc.date.accessioned | 2020-06-21T09:42:52Z | |
| dc.date.available | 2020-06-21T09:42:52Z | |
| dc.date.issued | 2015 | |
| dc.department | OMÜ | en_US |
| dc.department-temp | Güngör, N., Gümüşhane University, Faculty of Engineering, Department of Mathematical Engineering, Gümüşhane, 29100, Turkey -- S?gir, B., Ondokuz Mayis University, Faculty of Sciences and Arts, Department of Mathematics, Kurupelit Samsun, 55139, Turkey -- | en_US |
| dc.description.abstract | Let 1 ? p < ? and ? be Beurling's weight function on ?d. In this article, we demonstrate some harmonic properties of Sobolev space Wpk (?d) which consists of all functions on ?d whose weak derivatives up to and including order k belong to Lp(?d). Also, we deal with some harmonic properties of intersection space Apk,?(?d) = L1?(?d) ? Wpk (?d) by aid of Beurling algebra L1?(?d) and Sobolev space Wpk (?d). Finally, we research the inclusions and continuous embeddings between the spaces Apk,?(?) where ? ? ?d be open set. © 2015 Ramanujan Mathematical Society. | en_US |
| dc.identifier.endpage | 373 | en_US |
| dc.identifier.issn | 0970-1249 | |
| dc.identifier.issue | 4 | en_US |
| dc.identifier.startpage | 361 | en_US |
| dc.identifier.uri | https://hdl.handle.net/20.500.12712/5205 | |
| dc.identifier.volume | 30 | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Ramanujan Mathematical Society | 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 L1?(?d) ? Wpk (?d) | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication |