Let \(({\mathcal {X}},\,d,\,\mu )\) be an RD-space. In this paper, under some slightly weaker conditions, we establish the boundedness of the commutators generated by the \(\theta \)-type Calderón–Zygmund operators and BMO functions on the generalized weighted Morrey spaces \(\widetilde{{\mathcal {M}}}^{p,\,\psi }(\omega )\) and the generalized weighted Morrey spaces of \(L\ln L\) type \(\widetilde{{\mathcal {M}}}^{1,\,\psi }_{L\ln L}(\omega )\) over \(({\mathcal {X}},\,d,\,\mu )\).

中文翻译：

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RD 空间上广义加权莫雷空间上 $$\theta $$ θ 型 Calderón–Zygmund 算子的交换子的有界

令\(({\mathcal {X}},\,d,\,\mu )\)是一个 RD 空间。在本文中，在一些稍弱的条件下，我们建立了由\(\theta \)型 Calderón–Zygmund 算子和 BMO 函数在广义加权莫雷空间\(\widetilde{{\mathcal { M}}}^{p,\,\psi }(\omega )\)和\(L\ln L\)类型的广义加权莫雷空间\(\widetilde{{\mathcal {M}}}^{ 1,\,\psi }_{L\ln L}(\omega )\)超过\(({\mathcal {X}},\,d,\,\mu )\)。