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The commutator of convolution type Calderon-Zygmund singular integral operators with rough kernels p.v. |x|n are studied. The authors established the L p (1 < p < ∞) boundedness of the commutators of singular integrals and maximal singular integrals with the kernel condition which is different from the condition Ω ∈ H1(Sn−1). MR(2000) Subject Classification: 42B20, 42B25, 42B99

𝐿^{𝑝} bounds for the commutators of singular integrals and maximal singular integrals with rough kernels