Note on Order-Isomorphic Isometric Embeddings of Some Recent Function Spaces

Abstract EN

We investigate certain recently introduced ODE-determined varying exponent Lp spaces.

It turns out that these spaces are finitely representable in a concrete universal varying exponent lp space.

Moreover, this can be accomplished in a natural unified fashion.

This leads to order-isomorphic isometric embeddings of all of the above Lp spaces to an ultrapower of the above varying exponent lp space.