2023 A Note on the Limit of Orlicz Norms
David Cruz-Uribe, OFS, Scott Rodney
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Real Anal. Exchange 48(1): 77-82 (2023). DOI: 10.14321/realanalexch.48.1.1606864896

Abstract

We generalize the well-known equality that the limit of the $L^p$ norm of a function as $p\rightarrow\infty$ is the $L^\infty$ norm to the scale of Orlicz spaces.

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David Cruz-Uribe, OFS. Scott Rodney. "A Note on the Limit of Orlicz Norms." Real Anal. Exchange 48 (1) 77 - 82, 2023. https://doi.org/10.14321/realanalexch.48.1.1606864896

Information

Published: 2023
First available in Project Euclid: 24 February 2023

Digital Object Identifier: 10.14321/realanalexch.48.1.1606864896

Subjects:
Primary: 28A25 , 46E30

Keywords: Orlicz spaces

Rights: Copyright © 2023 Michigan State University Press

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Vol.48 • No. 1 • 2023
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