Imbedding theorems and compactness for spaces of Sobolev type with weights

In this article weight estimates are obtained for the intermediate derivatives in spaces of functions which are $p$th power summable together with their gradient of order $l$ over a domain $\Omega$ with respect to a weight which degenerates on the boundary of $\Omega$. In particular, these estimates imply the boundedness and compactness of the corresponding imbeddings.
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