Let \(({{\mathcal {X}}},\rho ,\mu )\) be a space of homogeneous type in the sense of Coifman and Weiss with the upper dimension \(\omega \in (0,\infty )\) . Assume that \(p\in [1,\infty ]\) , \(q\in (1,\infty )\) , \(\epsilon \in (0,1]\) , and \(\alpha \in (-\infty ,\min \{\frac{1}{p},\frac{\epsilon }{\omega }\})\) . In this article, the authors obtain the boundedness of \(\epsilon \) -Calderón–Zygmund operators from the special Riesz–Morrey space \({RM^{\text {spe}}_{p,q,\alpha }}(\mathcal {X})\) to the special John–Nirenberg–Campanato space \({JN^{\text {spe}}_{p,q,\alpha }}(\mathcal {X})\) via using an equivalent norm of \({JN^{\text {spe}}_{p,q,\alpha }}(\mathcal {X})\) and the properties of \(\epsilon \) -Calderón–Zygmund kernels. The novelty of these results is that, in the proof of main theorems, the authors get rid of the dependence on the reverse doubling property of \(\mu \) by using admissible sequences of balls instead of those with radii \(\{2^k\}_{k\in \mathbb {N}}\) in the classical annulus decomposition method. As applications, the authors also obtain the boundedness of Calderón–Zygmund operators from special Riesz–Morrey spaces to special John–Nirenberg–Campanato spaces on, respectively, \({\mathbb {R}}^n\) and the homogeneous group \(\mathbb {G}\) , which makes the results more accurate.
