与一般的问题不同，这里所考虑的问题是在加权索伯列夫空间中讨论的。

In chapter one , different from most of papers, the problem is discussed in the weighted Sobolev spaces.

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本文研究索伯·列夫空间半范数的某些性质及其与某类商范数的关系，得到了一些新结果。

In this paper, several properties of seminorm on Sobolev space and its relation to some quotient norm are studied and the new results are obtained.

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本文研究索伯·列夫空间半范数的某些性质及其与某类商范数的关系，得到了一些新结果。

In this paper, several properties of seminorm on Sobolev space and its relation to some quotient norm are studied and the new results are obtained.

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