English

Duality of ODE-determined norms

Functional Analysis 2017-01-20 v3 Classical Analysis and ODEs

Abstract

Recently a new approach to varying exponent Lp()L^{p(\cdot)} space norms employing weak solutions to first order ordinary differential equations was initiated by the author. The duality of these ODE-determined Lp()L^{p(\cdot)} spaces is analyzed here. The superreflexivity of these spaces is characterized under the anticipated conditions. A universal space construction is also given for these spaces.

Keywords

Cite

@article{arxiv.1609.04991,
  title  = {Duality of ODE-determined norms},
  author = {Jarno Talponen},
  journal= {arXiv preprint arXiv:1609.04991},
  year   = {2017}
}

Comments

Overlaps older versions of arXiv:1402.0528

R2 v1 2026-06-22T15:51:47.055Z