In this paper, first we establish the weak type $\mathrm{B}\mathrm{M}\mathrm{O}$ estimates of the commutators of the maximal operator, the fractional maximal operator and some commutators related to linear operators on the Herz type spaces with variable exponent. Subsequently the weak type Lipschitz estimates of Calderón–Zygmund singular integral commutator and fractional integral commutator from Herz-type Hardy spaces with variable exponent to weak Herz spaces with variable exponent are obtained.

中文翻译：

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具有可变指数的 Herz 类型空间上的换向器的弱类型估计

在本文中，首先我们建立弱类型$\mathrm{乙}\mathrm{米}\mathrm{○}$最大算子、分数最大算子的交换子的估计，以及一些与 Herz 类型空间上可变指数的线性算子相关的交换子。随后得到了从变指数的Herz型Hardy空间到变指数的弱Herz空间的Calderón-Zygmund奇异积分交换子和分数积分交换子的弱型Lipschitz估计。