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We consider maximal functions Mf(x,θ), singular integrals Hf(x,θ), and maximal singular integrals Hf(x,θ) on ℝ n × S n-1 associated with homogeneous curves, for functions f on ℝ n. We prove certain weighted mixed norm estimates for them. These results are applied to the theory of singular integrals with variable kernels via the method of rotations of Caldeŕon-Zygmund. © 2011 American Mathematical Society

Nonisotropic dilations and the method of rotations with weight