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- Jun 20, 2014

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Let $f : \Bbb R^n \to \Bbb R$ be a function such that $f$ and its maximal function $\mathcal{M}f$ belong to $\mathcal{L}^1(\Bbb R^n)$. Show that $f(x) = 0$ for almost every $x\in \Bbb R^n$.

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