In this paper, we mainly discuss the multilinear Calderon-Zygmund operator theory on space of homogeneous type. We take the example of bilinear Calderon-Zygmund operator instead of multilinear Calderon-Zygmund operator to discuss. The contents include the related conceptions of bilinear Calderon-Zygmund operator, an endpiont weak type estimate of bilinear Calderon-Zygmund operator and other boundnesses of bilinear Calderon-Zygmund operator on product of two Lebesgue spaces.
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