= BV mollification error estimate
{c}
{title2=$\|w*\rho_\epsilon-w\|_1\le\epsilon|Dw|(\mathbb R^n)$}
For a nonnegative normalized <mollifier> supported in the radius-$\epsilon$ ball, integrate the <BV translation estimate> with weight $\rho_\epsilon(h)$. The full-space <derivative> variation controls the full-space error. Replacing it by variation on a smaller domain is invalid without a support condition: a nonconstant bump outside that domain has zero <derivative> <measure> inside but a nonzero mollification error.
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