<?xml version="1.0" encoding="UTF-8"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-10-23T22:57:28Z</responseDate><request verb="GetRecord" identifier="oai:gumushane-rdlopen.rawdatalibrary.net:gumushane/16232" metadataPrefix="oai_dc">https://gumushane-rdlopen.rawdatalibrary.net/oai/request</request><GetRecord><record><header><identifier>oai:gumushane-rdlopen.rawdatalibrary.net:gumushane/16232</identifier><datestamp>2026-10-23T21:05:43Z</datestamp><setSpec>openaire</setSpec><setSpec>com_gumushane_10000</setSpec><setSpec>col_gumushane_10001</setSpec></header><metadata><oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd"><dc:title>A note on weighted Sobolev algebras Lω1(Rd) ∧ Wkp(Rd)</dc:title><dc:creator>Güngör, Nihan</dc:creator><dc:creator>Sagir, Birsen</dc:creator><dc:description>Let 1 &lt;= p &lt; 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.</dc:description><dc:publisher>RAMANUJAN MATHEMATICAL SOC</dc:publisher><dc:date>2015-12</dc:date><dc:type>Article</dc:type><dc:identifier>https://rdlopen.rawdatalibrary.net/r/gumushane/16232</dc:identifier><dc:identifier>0970-1249</dc:identifier><dc:language>en</dc:language><dc:relation>JOURNAL OF THE RAMANUJAN MATHEMATICAL SOCIETY</dc:relation><dc:rights>info:eu-repo/semantics/closedAccess</dc:rights><dc:type>info:eu-repo/semantics/article</dc:type><dc:identifier>https://gumushane-rdlopen.rawdatalibrary.net/tr/items/gumushane/16232</dc:identifier></oai_dc:dc></metadata></record></GetRecord></OAI-PMH>