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Suppose $p,q,r \in[1, \infty)$ and ${1\over r} = {1\over p} + {1\over q}$ .

How can I use Minkowski's Inequality for prove below? $||fg||_r \le ||f||_p||g||_q$

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    As did showed you how to do the case $r=1$ for the general case just use the $r=1$ case on $\|f^r g^r\|_1$.2012-06-13

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