A packing condition is shown to characterize when an outer capacity is equivalent to its induced Hausdorff content, yielding maximal estimates and John-Nirenberg inequalities for such capacities.
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The Capacitary John-Nirenberg Inequality Revisited
A packing condition is shown to characterize when an outer capacity is equivalent to its induced Hausdorff content, yielding maximal estimates and John-Nirenberg inequalities for such capacities.