On the optimally defined Hardy operator in $L^p$-spaces
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- by Werner J. Ricker PDF
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Abstract:
For each $1<p<\infty$, the optimal extension of the classical Hardy operator from $L^p (\mathbb {R}^+)$ into itself has been identified by Delgado and Soria. By relaxing the target space to be $L^p_{loc} (\mathbb {R}^+)$ we determine the optimal Hardy operator which maps into this target space.References
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Additional Information
- Werner J. Ricker
- Affiliation: Math.-Geogr. Fakultät, Katholische Universität Eichstätt-Ingolstadt, D-85072 Eichstätt, Germany
- Email: werner.ricker@ku.de
- Received by editor(s): July 28, 2017
- Received by editor(s) in revised form: October 30, 2017
- Published electronically: August 10, 2018
- Communicated by: Thomas Schlumprecht
- © Copyright 2018 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 146 (2018), 4693-4705
- MSC (2010): Primary 46E30, 47A67; Secondary 46G10, 47B38
- DOI: https://doi.org/10.1090/proc/14005
- MathSciNet review: 3856138