Self-improvement of pointwise Hardy inequality
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- by Sylvester Eriksson-Bique and Antti V. Vähäkangas PDF
- Trans. Amer. Math. Soc. 372 (2019), 2235-2250 Request permission
Abstract:
We prove the self-improvement of a pointwise $p$-Hardy inequality. The proof relies on maximal function techniques and a characterization of the inequality by curves.References
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Additional Information
- Sylvester Eriksson-Bique
- Affiliation: Department of Mathematics, UCLA, 520 Portola Plaza, Los Angeles, California 90095
- MR Author ID: 945674
- Email: syerikss@math.ucla.edu
- Antti V. Vähäkangas
- Affiliation: Department of Mathematics and Statistics, University of Jyväskylä, P.O. Box 35, FI-40014 University of Jyväskylä, Finland
- Email: antti.vahakangas@iki.fi
- Received by editor(s): October 29, 2018
- Received by editor(s) in revised form: February 9, 2019
- Published electronically: April 4, 2019
- Additional Notes: The first author was partially supported by grant #DMS-1704215 of the NSF (U.S.).
The first author also thanks Enrico Le Donne, Riikka Korte, and Juha Kinnunen for hosting and supporting visits at the University of Jyväskylä and Aalto University during which this research was completed. - © Copyright 2019 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 372 (2019), 2235-2250
- MSC (2010): Primary 31C15; Secondary 31E05, 35A23
- DOI: https://doi.org/10.1090/tran/7826
- MathSciNet review: 3976590