Geodesic
Weighted $L_p$-estimates for singular integrals with anisotropic kernels
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 17, Tome 147 (1985), pp. 124-137

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Weighted $L_p$-estimate for singular integrals derived by Muckenhoupt, Coifman and Fefferman is extended to integrals with anisotropic kernels. In particular, heat volume potentials and more general singular integrals whose kernels are fundamental solutions of parabolic equations are considered. 
@article{ZNSL_1985_147_a9,
     author = {I. M. Rochman and V. A. Solonnikov},
     title = {Weighted $L_p$-estimates for singular integrals with anisotropic kernels},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {124--137},
     publisher = {mathdoc},
     volume = {147},
     year = {1985},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1985_147_a9/}
}
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I. M. Rochman; V. A. Solonnikov. Weighted $L_p$-estimates for singular integrals with anisotropic kernels. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 17, Tome 147 (1985), pp. 124-137. http://geodesic.mathdoc.fr/item/ZNSL_1985_147_a9/