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arXiv · 1410.4961

Note on order-isomorphic isometric embeddings of some recent function spaces

Jarno Talponen
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Abstract

We investigate certain recently introduced ODE-determined varying exponent $L^p$ spaces. It turns out that these spaces are finitely representable in a concrete universal varying exponent $\ell^p$ space. Moreover, this can be accomplished in a natural unified fashion. This leads to order-isomorphic isometric embeddings of all of the above $L^p$ spaces to an ultrapower of the above varying exponent $\ell^p$ space.

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Jarno Talponen. 2014-10-18. Note on order-isomorphic isometric embeddings of some recent function spaces. https://arxiv.org/abs/1410.4961

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