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More precisely, we prove that for every $t>0$ \\begin{equation*}%\\label{tesis_teo2.2} uv(\\{x\\in\\R^n: |\\frac{[b,T](fv)(x)}{v(x)}|>t\\})\\leq C\\int_{\\R^n}\\phi(\\frac{|f(x)|}{t})u(x)v(x)\\,dx, \\end{equation*} where $\\phi(t)=t(1+\\log^{+}{t})$, $u\\in A_1$ and $v\\in A_{\\infty}(u)$. Our technique involves the classical Calder\\'on-Zygmund decomposition, which allow us to give a direct proof. We use this result to prove an analogous inequality for higher order commutators. 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More precisely, we prove that for every $t>0$ \\begin{equation*}%\\label{tesis_teo2.2} uv(\\{x\\in\\R^n: |\\frac{[b,T](fv)(x)}{v(x)}|>t\\})\\leq C\\int_{\\R^n}\\phi(\\frac{|f(x)|}{t})u(x)v(x)\\,dx, \\end{equation*} where $\\phi(t)=t(1+\\log^{+}{t})$, $u\\in A_1$ and $v\\in A_{\\infty}(u)$. Our technique involves the classical Calder\\'on-Zygmund decomposition, which allow us to give a direct proof. We use this result to prove an analogous inequality for higher order commutators. 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