The sharp weighted bound for the Riesz transforms

Petermichl, Stefanie

doi:10.1090/S0002-9939-07-08934-4

The sharp weighted bound for the Riesz transforms
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by Stefanie Petermichl

Proc. Amer. Math. Soc. 136 (2008), 1237-1249

DOI: https://doi.org/10.1090/S0002-9939-07-08934-4

Published electronically: December 7, 2007

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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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