A note on the limit of Orlicz norms

2020/12/01 by David Cruz-Uribe, Cruz-Uribe, David, Scott Rodney +1
Mathematics · #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Approximation Theory and Sequence Spaces #math.CA #msc:28A25 #msc:46E30

paper · pdf · doi:10.48550/arxiv.2012.00707

arxiv created 2020/12/01 · arxiv updated 2020/12/02

Abstract

We generalize the well-known inequality that the limit of the L^p norm of a function as p→∞ is the L^∞ norm to the scale of Orlicz spaces.

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