DC Field | Value | Language |
---|---|---|
dc.contributor.author | Byeon, Jaeyoung | ko |
dc.contributor.author | Jin, Sangdon | ko |
dc.date.accessioned | 2023-08-24T06:01:10Z | - |
dc.date.available | 2023-08-24T06:01:10Z | - |
dc.date.created | 2023-08-24 | - |
dc.date.issued | 2022-03 | - |
dc.identifier.citation | Transactions of the American Mathematical Society Series B, v.9, pp.208 - 257 | - |
dc.identifier.uri | http://hdl.handle.net/10203/311788 | - |
dc.description.abstract | There have been numerous studies on Hardy’s inequality on a bounded domain, which holds for functions vanishing on the boundary. On the other hand, the classical Legendre differential equation defined in an interval can be regarded as a Neumann version of the Hardy inequality with subcritical weight functions. In this paper we study a Neumann version of the Hardy inequality on a bounded C2-domain in Rn of the following form (formula presented) where d(x) is the distance from x ∈ Ω to the boundary ∂Ω andα, β ∈ R. We classify all (α, β) ∈ R2 for which C(α, β) > 0. Then, we study whether an optimal constant C(α, β) is attained or not. Our study on C(α, β) for general (α, β) ∈ R2 shows that the (classical) Hardy inequality can be regarded as a special case of the Neumann version. | - |
dc.language | English | - |
dc.publisher | American Mathematical Society | - |
dc.title | THE LEGENDRE-HARDY INEQUALITY ON BOUNDED DOMAINS | - |
dc.type | Article | - |
dc.identifier.scopusid | 2-s2.0-85147875660 | - |
dc.type.rims | ART | - |
dc.citation.volume | 9 | - |
dc.citation.beginningpage | 208 | - |
dc.citation.endingpage | 257 | - |
dc.citation.publicationname | Transactions of the American Mathematical Society Series B | - |
dc.identifier.doi | 10.1090/btran/75 | - |
dc.contributor.localauthor | Byeon, Jaeyoung | - |
dc.contributor.nonIdAuthor | Jin, Sangdon | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
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