A note on weighted Sobolev algebras L1ω(ℝd) ∩ Wpk (ℝd)
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Özet
Let 1 ≤ p < ∞ and ω be Beurling's weight function on ℝd. In this article, we demonstrate some harmonic properties of Sobolev space Wpk (ℝd) which consists of all functions on ℝd whose weak derivatives up to and including order k belong to Lp(ℝd). Also, we deal with some harmonic properties of intersection space Apk,ω(ℝd) = L1ω(ℝd) ∩ Wpk (ℝd) by aid of Beurling algebra L1ω(ℝd) and Sobolev space Wpk (ℝd). Finally, we research the inclusions and continuous embeddings between the spaces Apk,ω(Ω) where Ω ⊂ ℝd be open set.
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/gumushane/15334Resmi atıflarda kullanılan kalıcı adresTam Kayıt
| Alan | Değer | Dil |
|---|---|---|
| dc.contributor.author | Güngör, Nihan | |
| dc.contributor.author | Səgir, Birsen | |
| dc.date.accessioned | 2026-10-22T10:23:53.498766774Z | |
| dc.date.available | 2026-10-22T10:23:53.498766774Z | |
| dc.date.issued | 2015 | |
| dc.description.abstract | Let 1 ≤ p < ∞ and ω be Beurling's weight function on ℝd. In this article, we demonstrate some harmonic properties of Sobolev space Wpk (ℝd) which consists of all functions on ℝd whose weak derivatives up to and including order k belong to Lp(ℝd). Also, we deal with some harmonic properties of intersection space Apk,ω(ℝd) = L1ω(ℝd) ∩ Wpk (ℝd) by aid of Beurling algebra L1ω(ℝd) and Sobolev space Wpk (ℝd). Finally, we research the inclusions and continuous embeddings between the spaces Apk,ω(Ω) where Ω ⊂ ℝd be open set. | |
| dc.identifier.endpage | 373 | |
| dc.identifier.issn | 0970-1249 | |
| dc.identifier.issue | 4 | |
| dc.identifier.scopus | 2-s2.0-84951115916 | |
| dc.identifier.startpage | 361 | |
| dc.identifier.uri | https://rdlopen.rawdatalibrary.net/r/gumushane/15334 | |
| dc.identifier.volume | 30 | |
| dc.language.iso | en | |
| dc.publisher | Ramanujan Mathematical Society | |
| dc.relation.ispartof | Journal of the Ramanujan Mathematical Society | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.title | A note on weighted Sobolev algebras L1ω(ℝd) ∩ Wpk (ℝd) | |
| dc.type | Article | |
| dspace.entity.type | Publication | |
| rdl.citation.scopus | 0 | |
| rdl.oa.status | closed | |
| rdl.source.index | SCOPUS |