摘要 : In this paper, we study the weighted bounds for the singular integrals with variable kernels. Let T-Omega be the singular integral operator with variable kernel and T-Omega* be the associated maximal singular integral operator. Mo... 展开 In this paper, we study the weighted bounds for the singular integrals with variable kernels. Let T-Omega be the singular integral operator with variable kernel and T-Omega* be the associated maximal singular integral operator. More precisely, we first obtain the quantitative weighted bounds that depend on some variants of the A(p) constant of w for the maximal singular integral T-Omega* and it's commutator. Let T-Omega* be the adjoint of T-Omega and let T-Omega(#) be the pseudo-adjoint of T-Omega. Secondly, we get some quantitative weighted bounds for these singular integral operators with the fractional differentiation operator D-gamma (0 < gamma <= 1). 收起