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The aim of this paper is to deal with the boundedness of the  θ -type Calderón-Zygmund operators and their commutators on Herz spaces with two variable exponents  p (⋅),  q (⋅). It is proved that the  θ -type Calderón-Zygmund operators are bounded on the homogeneous Herz space with variable exponentsK  ˙p  (  ⋅  )    α  ,  q  (  ⋅  )    (    R    n    )  .$\begin{array}{} \displaystyle \dot{K}^{\alpha,q(\cdot)}_{p(\cdot)}(\mathbb{R}^{n}). \end{array}$    Furthermore, the boundedness of the corresponding commutators generated by BMO function and Lipschitz function is also obtained respectively.

θ -type Calderón-Zygmund Operators and Commutators in Variable Exponents Herz space