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Two weight estimates for \(L^{r}\)-Hörmander singular integral operators and rough singular integral operators with matrix weights

  • Yongming Wen,
  • Wenting Hu,
  • Fuli Ku

摘要

In this paper, we give new bump conditions for two matrix weight inequalities of \(L^{r}\) L r -Hörmander singular integral operators and rough singular integral operators, which are new even in the scalar cases. As applications, we obtain quantitative one weight inequalities for rough singular integral operators.