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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The sharp weighted bound for the Riesz transforms


Author: Stefanie Petermichl
Journal: Proc. Amer. Math. Soc. 136 (2008), 1237-1249
MSC (2000): Primary 42-XX
Published electronically: December 7, 2007
MathSciNet review: 2367098
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Abstract: We establish the best possible bound on the norm of the Riesz transforms as operators in the weighted space $ L^p_{\mathbb{R}^n}(\omega)$ for $ 1 < p<\infty$ in terms of the classical $ A_p$ characteristic of the weight.


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Additional Information

Stefanie Petermichl
Affiliation: Institut de Mathématiques de Bordeaux, 351, cours de la Libération, F-33405 Talence Cedex, France
Email: Stefanie.Petermichl@math.u-bordeaux1.fr

DOI: http://dx.doi.org/10.1090/S0002-9939-07-08934-4
PII: S 0002-9939(07)08934-4
Received by editor(s): September 19, 2006
Published electronically: December 7, 2007
Additional Notes: The author was supported by NSF grant #DMS 9729992
Communicated by: Michael Lacey
Article copyright: © Copyright 2007 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.