This is an announcement for the paper "Note on order-isomorphic isometric embeddings of some recent function spaces" by Jarno Talponen.

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.

Archive classification: math.FA math.CA

Mathematics Subject Classification: 46E30, 46B08, 46B04, 46B42, 46B45, 34-XX

Submitted from: talponen@iki.fi

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1410.4961

or

http://arXiv.org/abs/1410.4961