Abstract
The main purpose of this paper is to establish trace Hardy-Sobolev-Maz'ya inequalities on half space. In case n=2, we show that the sharp constant coincides with the best trace Sobolev constant. This is an analogous result to that of the sharp constant in the n−12-th order Hardy-Sobolev-Maz'ya inequality in the half space of dimension n when n is odd.
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