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A Note on Weighted Sobolev Algebras L1ω(ℝd) ∩ Wpk (ℝd)

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dc.authorscopusid56781191300
dc.authorscopusid57015677500
dc.contributor.authorGüngör, N.
dc.contributor.authorSagıry, B.
dc.date.accessioned2025-12-10T23:09:08Z
dc.date.issued2015
dc.departmentOndokuz Mayıs Üniversitesien_US
dc.department-temp[Güngör] Nihan, Department of Mathematical Engineering, Gümüşhane Üniversitesi, Gumushane, Gumushane, Turkey; [Sagıry] Birsen, Department of Mathematics, Ondokuz Mayis Üniversitesi, Samsun, Turkeyen_US
dc.description.abstractLet 1 ≤ p < ∞ and ω be Beurling's weight function on ℝd. In this article, we demonstrate some harmonic properties of Sobolev space Wp<inf>k</inf> (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 Ap<inf>k,ω</inf>(ℝd) = L1<inf>ω</inf>(ℝd) ∩ Wp<inf>k</inf> (ℝd) by aid of Beurling algebra L1<inf>ω</inf>(ℝd) and Sobolev space Wp<inf>k</inf> (ℝd). Finally, we research the inclusions and continuous embeddings between the spaces Ap<inf>k,ω</inf>(Ω) where Ω ⊂ ℝd be open set. © 2015 Ramanujan Mathematical Society.en_US
dc.identifier.endpage373en_US
dc.identifier.issn0970-1249
dc.identifier.issn2320-3110
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-84951115916
dc.identifier.scopusqualityQ4
dc.identifier.startpage361en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12712/35304
dc.identifier.volume30en_US
dc.identifier.wosqualityQ4
dc.language.isoenen_US
dc.publisherRamanujan Mathematical Societyen_US
dc.relation.ispartofJournal of the Ramanujan Mathematical Societyen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.titleA Note on Weighted Sobolev Algebras L1ω(ℝd) ∩ Wpk (ℝd)en_US
dc.typeArticleen_US
dspace.entity.typePublication

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