Abstract: By using the ring decomposition, the commutator generated by the Bochner-Riesz operator and variable exponential Lipschitz function b(x) was decomposed into three parts, and its boundedness was estimated by using the properties of Lipschitz function with variable exponent, and the boundedness of the commutator of Bochner-Riesz operator and variable exponential Lispchitz function on the Herz-Morrey space with variable exponent was obtained.

Key words: Bochner-Riesz operator, Herz-Morrey space with variable exponent, Lipschitz function with variable exponent, commutator