Duality of ODE-determined norms

2016/09/16 by Talponen, Jarno
#31B10 (Secondary) #34A12 (Primary) #46B10 #46E30 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1609.04991

Abstract

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