Degenerate matrix-weighted Sobolev spaces are shown to embed compactly into weighted L^q spaces locally, under local Poincaré and Sobolev inequalities with gain sigma>1, with an application to p-admissible weights.
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An Improved Compact Embedding Theorem for Degenerate Sobolev Spaces
Degenerate matrix-weighted Sobolev spaces are shown to embed compactly into weighted L^q spaces locally, under local Poincaré and Sobolev inequalities with gain sigma>1, with an application to p-admissible weights.