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A Two-weight Norm Inequality for Singular Integral Operators with Non-smooth Kernel on Spaces of Homogeneous Type

Keywords: Spaces of homogeneous typezz,Norm inequalityzz,Singular integral operatorzz,Non-smooth kernelzz

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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.


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