On uniformly perfect metric spaces with doubling measures, homogeneous Hajlasz-Sobolev functions with sp < sigma have pointwise limits at infinity outside an (s,p)-thin exceptional set, refining earlier Hausdorff-content-based results.
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Limits at infinity for Haj{\l}asz-Sobolev functions in metric spaces
On uniformly perfect metric spaces with doubling measures, homogeneous Hajlasz-Sobolev functions with sp < sigma have pointwise limits at infinity outside an (s,p)-thin exceptional set, refining earlier Hausdorff-content-based results.