I am trying to understand the paper "Conformally flat manifolds, Kleinian groups and scalar curvature" by Schoen and Yau. In P.56, it says:

This implies that $\partial M$ has a zero $q$-capacity, and a standard result [AM] then implies that the Hausdorff dimension of $\partial M$ is less than or equal to $n-q$...

The reference [AM] refers to the paper "Bessel potentials, inclusion relations among classes of exceptional sets" of Adam and Meyers published in Indiana Univ. Math. J. (1973) 22, 876-905. I tried to read the paper of Adam and Meyers, but I did not know which theorem Schoen and Yau referred to. Also, I wonder if there are some easy ways to prove that the above claim of Schoen-Yau, since it was claimed to be standard.


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