Geodesic
Weighted estimates of multidimensional singular integrals generated by the generalized shift operator
Sbornik. Mathematics, Tome 77 (1994) no. 1, pp. 37-55 Cet article a éte moissonné depuis la source Math-Net.Ru

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Sufficient conditions on weights are found that ensure that a multidimensional singular integral operator generated by the generalized shift operator acts boundedly from one weighted $L_p$-space into another. It is shown that in some cases the conditions are sharp. 
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I. A. Aliev; A. D. Gadzhiev. Weighted estimates of multidimensional singular integrals generated by the generalized shift operator. Sbornik. Mathematics, Tome 77 (1994) no. 1, pp. 37-55. http://geodesic.mathdoc.fr/item/SM_1994_77_1_a3/

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