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Let $L^{p}(\mathbb{R}^d)$ be the linear space consists of $L^p$-integrable functions on $\mathbb{R}^d$ for $1\le p \le \infty$. Are there any relation among these spaces?

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    This *must* be a duplicate. However, the short answer is no.2012-09-11
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    What do you mean by "relation"? What parameter are you varying ($p$ or $d$)?2012-09-11
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    Maybe http://math.stackexchange.com/q/66029/ and http://math.stackexchange.com/q/170271/ answer your question?2012-09-11

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