{"@context":{"@vocab":"https://cir.nii.ac.jp/schema/1.0/","rdfs":"http://www.w3.org/2000/01/rdf-schema#","dc":"http://purl.org/dc/elements/1.1/","dcterms":"http://purl.org/dc/terms/","foaf":"http://xmlns.com/foaf/0.1/","prism":"http://prismstandard.org/namespaces/basic/2.0/","cinii":"http://ci.nii.ac.jp/ns/1.0/","datacite":"https://schema.datacite.org/meta/kernel-4/","ndl":"http://ndl.go.jp/dcndl/terms/","jpcoar":"https://github.com/JPCOAR/schema/blob/master/2.0/"},"@id":"https://cir.nii.ac.jp/crid/1360004231144831744.json","@type":"Article","productIdentifier":[{"identifier":{"@type":"DOI","@value":"10.1007/s00032-014-0222-x"}},{"identifier":{"@type":"URI","@value":"http://link.springer.com/content/pdf/10.1007/s00032-014-0222-x.pdf"}},{"identifier":{"@type":"URI","@value":"http://link.springer.com/article/10.1007/s00032-014-0222-x/fulltext.html"}},{"identifier":{"@type":"URI","@value":"http://link.springer.com/content/pdf/10.1007/s00032-014-0222-x"}}],"resourceType":"学術雑誌論文(journal article)","dc:title":[{"@value":"Sobolev Trace Theorem and the Dirichlet Problem in the Unit Disk"}],"description":[{"notation":[{"@value":"We give a direct and elementary proof for the trace theorem in L p -based Sobolev spaces, when the domain is the unit disk. We also consider the Dirichlet boundary problem for the Laplace equation, where the boundary value is a function in the Besov space. The Poisson kernel enables us to solve this problem in the unit disk more easily than in a general domain."}]}],"creator":[{"@id":"https://cir.nii.ac.jp/crid/1420001326227993216","@type":"Researcher","personIdentifier":[{"@type":"KAKEN_RESEARCHERS","@value":"10219769"},{"@type":"NRID","@value":"1000010219769"},{"@type":"ORCID","@value":"0000-0003-1046-870X"},{"@type":"NRID","@value":"9000238867835"},{"@type":"NRID","@value":"9000019993679"},{"@type":"NRID","@value":"9000016325441"},{"@type":"NRID","@value":"9000002384811"},{"@type":"NRID","@value":"9000002646799"},{"@type":"NRID","@value":"9000403401276"},{"@type":"NRID","@value":"9000002384849"},{"@type":"NRID","@value":"9000238876310"},{"@type":"NRID","@value":"9000016876796"},{"@type":"NRID","@value":"9000356548414"},{"@type":"NRID","@value":"9000346999652"},{"@type":"NRID","@value":"9000002384846"},{"@type":"NRID","@value":"9000009953603"},{"@type":"NRID","@value":"9000010614299"},{"@type":"NRID","@value":"9000000064455"},{"@type":"NRID","@value":"9000002384828"},{"@type":"NRID","@value":"9000018876888"},{"@type":"NRID","@value":"9000409473452"},{"@type":"RESEARCHMAP","@value":"https://researchmap.jp/read0028740"}],"foaf:name":[{"@value":"Yoichi Miyazaki"}]}],"publication":{"publicationIdentifier":[{"@type":"PISSN","@value":"14249286"},{"@type":"EISSN","@value":"14249294"}],"prism:publicationName":[{"@value":"Milan Journal of Mathematics"}],"dc:publisher":[{"@value":"Springer Science and Business Media LLC"}],"prism:publicationDate":"2014-05-23","prism:volume":"82","prism:number":"2","prism:startingPage":"297","prism:endingPage":"312"},"reviewed":"false","dc:rights":["http://www.springer.com/tdm"],"url":[{"@id":"http://link.springer.com/content/pdf/10.1007/s00032-014-0222-x.pdf"},{"@id":"http://link.springer.com/article/10.1007/s00032-014-0222-x/fulltext.html"},{"@id":"http://link.springer.com/content/pdf/10.1007/s00032-014-0222-x"}],"createdAt":"2014-05-22","modifiedAt":"2020-08-19","foaf:topic":[{"@id":"https://cir.nii.ac.jp/all?q=General%20Mathematics","dc:title":"General Mathematics"}],"project":[{"@id":"https://cir.nii.ac.jp/crid/1040000782160852608","@type":"Project","projectIdentifier":[{"@type":"KAKEN","@value":"23540225"},{"@type":"JGN","@value":"JP23540225"},{"@type":"URI","@value":"https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23540225/"}],"notation":[{"@language":"ja","@value":"発散形楕円型作用素の理論と応用"},{"@language":"en","@value":"Theory and application of divergence form elliptic operators"}]}],"relatedProduct":[{"@id":"https://cir.nii.ac.jp/crid/1360011146613807488","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Elliptic Partial Differential Equations of Second Order"}]},{"@id":"https://cir.nii.ac.jp/crid/1360292620699180160","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Functional Analysis"}]},{"@id":"https://cir.nii.ac.jp/crid/1360292620928999424","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Regular Elliptic Boundary Value Problems in Besov‐Triebel‐Lizorkin Spaces"}]},{"@id":"https://cir.nii.ac.jp/crid/1360574093751576320","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"New proofs of the trace theorem of Sobolev spaces"}]},{"@id":"https://cir.nii.ac.jp/crid/1361137044979428480","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Real Analysis"}]},{"@id":"https://cir.nii.ac.jp/crid/1361137045468001536","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Theory of Function Spaces"}]},{"@id":"https://cir.nii.ac.jp/crid/1361418520984677632","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Second Order Elliptic Equations and Elliptic\n                    Systems"}]},{"@id":"https://cir.nii.ac.jp/crid/1362544420302949888","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"The characterization of functions arising as potentials. 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