A theorem on weak type estimates for Riesz transforms and martingale transforms
Varopoulos, Nicolas Th.
Annales de l'Institut Fourier, Tome 31 (1981), p. 257-264 / Harvested from Numdam
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Les transformées de Riesz d’une mesure positive singulière ν∈M(R n ) satisfont à l’inégalité faible

m∑j=1n|Rjν|>λ≥C∥ν∥λ,λ>0

où m est la mesure de Lebesgue et C une constante positive dépendant de n.

The Riesz transforms of a positive singular measure ν∈M(R n ) satisfy the weak type inequality

m∑j=1n|Rjν|>λ≥C∥ν∥λ,λ>0

where m denotes Lebesgue measure and C is a positive constant only depending on m.

@article{AIF_1981__31_1_257_0,
     author = {Varopoulos, Nicolas Th.},
     title = {A theorem on weak type estimates for Riesz transforms and martingale transforms},
     journal = {Annales de l'Institut Fourier},
     volume = {31},
     year = {1981},
     pages = {257-264},
     doi = {10.5802/aif.826},
     mrnumber = {84e:60070},
     zbl = {0437.60003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_1981__31_1_257_0}
}

Varopoulos, Nicolas Th. A theorem on weak type estimates for Riesz transforms and martingale transforms. Annales de l'Institut Fourier, Tome 31 (1981) pp. 257-264. doi : 10.5802/aif.826. http://gdmltest.u-ga.fr/item/AIF_1981__31_1_257_0/

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