$L^p$ norm by duality on $\mathbb R^d$: $|\int hg|\le M\|g\|_{q}$ for all $g\in\bigcap_rL^r$ implies $\|h\|_{p}\le M$

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$L^p$ norm by duality on $\mathbb R^d$: $|\int hg|\le M\|g\|_{q}$ for all $g\in\bigcap_rL^r$ implies $\|h\|_{p}\le M$ · Prove2Me