A sharp estimate on the norm of the continuous square function
HTML articles powered by AMS MathViewer
- by Janine Wittwer PDF
- Proc. Amer. Math. Soc. 130 (2002), 2335-2342 Request permission
Abstract:
In this paper, we prove that the norm of the continuous square function in $L^2(\omega )$ is bounded linearly in the $A_{2}$ norm of the weight $w$.References
- Stephen M. Buckley, Estimates for operator norms on weighted spaces and reverse Jensen inequalities, Trans. Amer. Math. Soc. 340 (1993), no. 1, 253–272. MR 1124164, DOI 10.1090/S0002-9947-1993-1124164-0
- Ingrid Daubechies, Ten lectures on wavelets, CBMS-NSF Regional Conference Series in Applied Mathematics, vol. 61, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 1992. MR 1162107, DOI 10.1137/1.9781611970104
- R. Fefferman and J. Pipher, Multiparameter operators and sharp weighted inequalities, Amer. J. Math. 119 (1997), no. 2, 337–369. MR 1439553
- S. Petermichl and S. Pott, An estimate for weighted hilbert transform via square functions, personal communication.
- J. Horn, Über eine hypergeometrische Funktion zweier Veränderlichen, Monatsh. Math. Phys. 47 (1939), 359–379 (German). MR 91, DOI 10.1007/BF01695508
- Janine Wittwer, A sharp estimate on the norm of the martingale transform, Math. Res. Lett. 7 (2000), no. 1, 1–12. MR 1748283, DOI 10.4310/MRL.2000.v7.n1.a1
Additional Information
- Janine Wittwer
- Affiliation: Department of Mathematics, Williams College, Williamstown, Massachusetts 01267
- Email: jwittwer@williams.edu
- Received by editor(s): September 11, 2000
- Received by editor(s) in revised form: March 9, 2001
- Published electronically: January 23, 2002
- Communicated by: Christopher D. Sogge
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 2335-2342
- MSC (2000): Primary 42A50
- DOI: https://doi.org/10.1090/S0002-9939-02-06342-6
- MathSciNet review: 1897458