For and , the Dunkl convolution product is defined by
where is the Dunkl translation operator. The author investigates the Dunkl convolution operators on Herz-type Hardy spaces and establishes a version of multiplier theorem for the maximal Bochner-Riesz operators on the Herz-type Hardy spaces . Some related results are contained in the paper by S. Lu and D. Yang [Proc. Am. Math. Soc. 126, No. 11, 3337–3346 (1998; Zbl 0905.42007)].