Embeddability of p-spaces into mixed-norm Lebesgue spaces in connection with the validity of vector-valued extensions of the Riesz--Fischer Theorem
Abstract
The aim of this paper is twofold. On the one hand, we compute, in terms of r and s, the indices p for which p isomorphically embeds into the mixed-norm separable spaces Ls(Lr), s(Lr), Ls(r) and s(r). On the other hand, we use this information to move forward in the isomorphic classification of mixed-norm spaces. In particular, we tell apart the spaces L2(Lr) and 2(Lr), r=2.
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