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Estimations indépendantes de la dimension pour les transformées de Riesz. (Estimations for Riesz transforms independent of the dimension). (French) Zbl 0577.42015
The authors give an elementary proof of E. M. Stein’s estimate [Bull. Am. Math. Soc., New. Ser. 9, 71-73 (1983; Zbl 0515.42018)] for Riesz transforms in $$L^ p({\mathbb{R}}^ n)$$. The proof uses the method of rotation. Similar results are obtained for higher Riesz transforms.
Reviewer: S.Aljančić

##### MSC:
 42B10 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
##### Keywords:
method of rotation; Riesz transforms