Title: ON THE COMPLETENESS OF THE WEIGHTED SOBOLEV SPACE
Abstract: In this paper we consider the completeness of the weighted Sobolev space. An example is constructed to show that for 1pq+∞ there exists ω∈A q such that W 1,p(ωdx) is incomplete. Therefore the best weighted condition for the completeness of the weighted Sobolev space W 1,p(ωdx) is ω(x)∈A p.
Publication Year: 2004
Publication Date: 2004-01-01
Language: en
Type: article
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