A set E is median porous exactly when some power of dist(·,E) lies in A_∞, giving the exact α-range for A_p membership and the first Hardy-Sobolev inequalities beyond porous sets.
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Medians, Oscillations, and Distance Functions
A set E is median porous exactly when some power of dist(·,E) lies in A_∞, giving the exact α-range for A_p membership and the first Hardy-Sobolev inequalities beyond porous sets.