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首页> 外文期刊>Russian journal of mathematical physics >Embedding theorems for a weighted Sobolev class in the space L (q,v) with weights having a singularity at a point: Case v ae L (q) (1)
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Embedding theorems for a weighted Sobolev class in the space L (q,v) with weights having a singularity at a point: Case v ae L (q) (1)

机译:在空间L(q,v)中嵌入加权Sobolev类的定理,权重在一点上具有奇点:案例v ae L(q)(1)

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摘要

In the paper, embedding theorems for reduced weighted Sobolev classes in the space L (q,v) with weights having a singularity at a point are obtained. For a special class of weights, estimates for widths are also obtained. The case of v ae L (q) is considered.
机译:在本文中,获得了在空间L(q,v)中具有权重具有奇点的降权Sobolev类的嵌入定理。对于一类特殊的权重,还可以获得宽度的估计。考虑v ae L(q)的情况。

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