Recently, Jarod Hart and Rodolfo H. Torres(arXiv:1707.01141) obtained some characterizations of weighted BMO space, Theorem 1.2 in my paper can be seem as a corollary of Theorem 5.9 in their paper. It should point out that our paper has submitted to Forum Mathematicum on 18-Apr-2017

In this paper, we prove that the weighted BMO space as follows $${\rm BMO}^{p}(��)=\Big\{f\in L^{1}_{\rm loc}:\sup_{Q}\|��_{Q}\|^{-1}_{L^{p}(��)}\big\|(f-f_{Q})��^{-1}��_{Q}\big\|_{L^{p}(��)}