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?
Relation among $L^{p}(\mathbb{R}^d)$?
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functional-analysis
measure-theory
lebesgue-integral
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0This *must* be a duplicate. However, the short answer is no. – 2012-09-11
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3What do you mean by "relation"? What parameter are you varying ($p$ or $d$)? – 2012-09-11
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0Maybe http://math.stackexchange.com/q/66029/ and http://math.stackexchange.com/q/170271/ answer your question? – 2012-09-11