In a classical work (Ann. Math.128, (1988) 385–398), D. R. Adams proved a sharp Trudinger–Moser inequality for higher-order derivatives. We derive a sharp Adams-type inequality and Sobolev-type inequalities associated with a class of weighted Sobolev spaces that is related to a Hardy-type inequality.

中文翻译：

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加权Sobolev空间的尖锐亚当斯型不等式。

在经典的工作（安。数学式128，（1988）385-398），DR亚当斯证明了一个尖锐Trudinger-Moser的不等式高阶衍生物。我们得出了与一类与Hardy型不等式相关的加权Sobolev空间相关的尖锐的Adams型不等式和Sobolev型不等式。