Abstract of a paper by Jarno Talponen
This is an announcement for the paper "ODE representation for varying exponent $L^p$ norm" by Jarno Talponen. Abstract: We will construct Banach function space norms arising as weak solutions to ordinary differential equations of first order. This provides as a special case a new way of defining varying exponent $L^p$ spaces, different from the Orlicz type approach. It turns out that the duality of these spaces behaves in an anticipated way, same as the uniform convexity and uniform smoothness. Archive classification: math.FA math.CA Mathematics Subject Classification: 46E30, 46B10, 34A12, 31B10 Submitted from: talponen@iki.fi The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1402.0528 or http://arXiv.org/abs/1402.0528
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