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It is shown that for      1 &gt; p &gt; ∞  1 &gt; p &gt; \infty      ,      1 ⩽  q ⩽  ∞  1 \leqslant q \leqslant \infty       and      0 &gt; α  &gt; 1 0 &gt; \alpha &gt; 1      , there is a constant      C = C ( p , q , α  ) &gt; ∞  C = C(p,q,\alpha ) &gt; \infty       such that      l p k l_p^k       is      C C      -isomorphic to a subspace of      l p , q n l_{p,q}^n       where      k = O ( n α  ) k = O({n^\alpha })      .

Embedding 𝑙_{𝑝}^{𝑛^{𝛼}} in 𝑙ⁿ_{𝑝,𝑞}