The property $\log(f)\in BMO(\mathbb R^n)$ in terms of the Riesz transformations

The condition mentioned in the title is equivalent to the representability of $f$ as a quotient $f=v_1/v_2$ where $v_1$ and $v_2$ obey the inequality $|R_jv_i|\le cv_i$, $i=1,2$, $j=1,\ldots,n$. Here $R_1,\ldots,R_n$ are the Riesz transformations.