Embeddings of Sobolev spaces on unbounded domains
Embeddings of Sobolev spaces on unbounded domains
复制标题
无界域上 Sobolev 空间的嵌入
DOI：
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发表时间：
1977
期刊：
影响因子：
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通讯作者：
J. Martins
中科院分区：
文献类型：
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作者：
J. Martins
SummaryPiecewise polynomial and Fourier approximation of functions in the Sobolev spaces on unbounded domains Θ ⊂ Rn are applied to the study of the type of compact embeddings into appropriate Lebesgue and Orlicz spaces. It is shown that if Θ and s satisfy certain conditions, the embeddings, m/n+1/q−1/p>0 and, Φ being an Orlicz function subordinate to both φ(t)=|t|pexp |t|n/(n−m) and Φσ(t)=exp |t|σ−1, σ ⩾ 1, m/n>1/p, are of type ls. One result dealing with multiplications maps from into Lq(Θ) is also obtained.
