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arXiv · 1609.04991

Duality of ODE-determined norms

Jarno Talponen
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Abstract

Recently a new approach to varying exponent $L^{p(\cdot)}$ space norms employing weak solutions to first order ordinary differential equations was initiated by the author. The duality of these ODE-determined $L^{p(\cdot)}$ 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.

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Jarno Talponen. 2016-09-16. Duality of ODE-determined norms. https://arxiv.org/abs/1609.04991

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