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I'm looking for articles describing (or proving nonexistence) of isometric embeddings of $m$-dimensional space $\ell_q^m$ into $L_p$ and $\ell_p$ for $q,p\in[1,+\infty]$.

Since $\ell_q^m$ is finite dimensional some (not necessary isometric) embedding always exist. I'm interested in isometric ones.

Thank you for taking time.

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    @commenter As usually, he is just awesome :)2012-10-30

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Here is an answer to this question on mathoverflow.