Norm estimates for the Hardy operator in terms of $B_p$ weights
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- by Santiago Boza and Javier Soria PDF
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Abstract:
We study the explicit dependence of the Hardy operator norm, acting on non-increasing functions in $L^p(w)$ or $L^{p,\infty }(w)$, in terms of the $B_p$-constant of the weight $w$.References
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Additional Information
- Santiago Boza
- Affiliation: Department of Applied Mathematics IV, EETAC, Polytechnical University of Catalonia, E-08860 Castelldefels, Spain
- MR Author ID: 631295
- Email: santiago.boza@upc.edu
- Javier Soria
- Affiliation: Department of Mathematics and Informatics, University of Barcelona, Gran Via 585, E-08007 Barcelona, Spain
- MR Author ID: 319870
- Email: soria@ub.edu
- Received by editor(s): May 26, 2016
- Published electronically: February 20, 2017
- Additional Notes: Both authors have been partially supported by the Spanish Government grants MTM2013-40985-P and MTM2016-75196-P and the Catalan autonomous government grant 2014SGR289.
- Communicated by: Thomas Schlumprecht
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 2455-2465
- MSC (2010): Primary 26D15, 42B25, 46E30
- DOI: https://doi.org/10.1090/proc/13604
- MathSciNet review: 3626503