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We demonstrate that the Schatten--Lorentz norm ($S^{p,q}$, $1<p<\\infty$, $1\\leq q\\leq \\infty$) of the commutator $[b,R_{\\lambda,j}]$ can be characterized in terms of the oscillation space norm of the symbol $b$. In particular, for the case $p=q$, the Schatten norm of $[b,R_{\\lambda,j}]$ can be further characterized in terms of the Besov norm of the symbol. 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We demonstrate that the Schatten--Lorentz norm ($S^{p,q}$, $1<p<\\infty$, $1\\leq q\\leq \\infty$) of the commutator $[b,R_{\\lambda,j}]$ can be characterized in terms of the oscillation space norm of the symbol $b$. In particular, for the case $p=q$, the Schatten norm of $[b,R_{\\lambda,j}]$ can be further characterized in terms of the Besov norm of the symbol. 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