Geodesic
Weighted estimates of multidimensional singular integrals generated by the~generalized shift operator
Sbornik. Mathematics, Tome 77 (1994) no. 1, pp. 37-55

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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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     author = {I. A. Aliev and A. D. Gadzhiev},
     title = {Weighted estimates of multidimensional singular integrals generated by the~generalized shift operator},
     journal = {Sbornik. Mathematics},
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     year = {1994},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1994_77_1_a3/}
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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/