Duality of ODE-determined norms

DOI10.7146/MATH.SCAND.A-109390zbMATH Open1430.46029arXiv1609.04991OpenAlexW2963003040WikidataQ128569196 ScholiaQ128569196MaRDI QIDQ4622685

Jarno Talponen

Publication date: 13 February 2019

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Abstract: Recently a new approach to varying exponent

L^{p (c d o t)}

space norms employing weak solutions to first order ordinary differential equations was initiated by the author. The duality of these ODE-determined

L^{p (c d o t)}

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.

Full work available at URL: https://arxiv.org/abs/1609.04991

zbMATH Keywords

Lebesgue space ordinary differential equations duality variable exponents Orlicz-Musielak space

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30)