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arXiv · 1502.05154

Sharp Adams-type inequality invoking Hardy inequalities

Mohamed Khalil Zghal
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Abstract

We establish a sharp Adams-type inequality invoking a Hardy inequality for any even dimension. This leads to a non compact Sobolev embedding in some Orlicz space. We also give a description of the lack of compactness of this embedding in the spirit of \cite{Bahouri}.

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Mohamed Khalil Zghal. 2015-02-18. Sharp Adams-type inequality invoking Hardy inequalities. https://arxiv.org/abs/1502.05154

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