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A sharp estimate on the norm of the continuous square function

Author(s): Janine Wittwer
Journal: Proc. Amer. Math. Soc. 130 (2002), 2335-2342.
MSC (2000): Primary 42A50
Posted: January 23, 2002
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Abstract: In this paper, we prove that the norm of the continuous square function in $L^2(w)$ is bounded linearly in the $A_{2}$ norm of the weight $w$.

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J. Wittwer, A sharp estimate on the norm of the martingale transform, Math. Res. Lett. 7 (2000), no. 1, 1-12.MR 2001e:42022

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Additional Information:

Janine Wittwer
Affiliation: Department of Mathematics, Williams College, Williamstown, Massachusetts 01267
Email: jwittwer@williams.edu

DOI: 10.1090/S0002-9939-02-06342-6
PII: S 0002-9939(02)06342-6
Received by editor(s): September 11, 2000
Received by editor(s) in revised form: March 9, 2001
Posted: January 23, 2002
Communicated by: Christopher D. Sogge
Copyright of article: Copyright 2002, American Mathematical Society

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