Duality of ODE-determined norms
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- September 2016
- DOI:
- 10.48550/arXiv.1609.04991
- arXiv:
- arXiv:1609.04991
- Bibcode:
- 2016arXiv160904991T
- Keywords:
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- Mathematics - Functional Analysis;
- Mathematics - Classical Analysis and ODEs;
- 46E30;
- 34A12 (Primary);
- 46B10;
- 31B10 (Secondary)
- E-Print:
- Overlaps older versions of arXiv:1402.0528