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Young's inequality for discrete convolution
Young's inequality for convolution of functions states that for $f\in L^p(\mathbb{R}^d)$ and $g\in L^q(\mathbb{R}^d)$ we have
$$\|f\star g\|_r\le\|f\|_p\|g\|_q$$
for $p$, $q$, $r$ satisfying
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