A Two-weight Norm Inequality for Singular Integral Operators with Non-smooth Kernel on Spaces of Homogeneous Type
齐型空间上带非光滑核的奇异积分算子的双权不等式

In this paper, a two-weight weak type norm inequality for singular integral operators with non-smooth kernel is established on spaces of homogeneous type. The authors prove that the operators in question are bounded from Lp(X, v) to Lq, ∞( X, u) with 1< p ≤ q <∞, provided that the pair of weights (u, v) verifies an Ap-type condition with an '`Orlicz-bump' on the weight u.