 the complete continuity of $\mathcal{M}_{\Omega,\,b}$ on weighted Morrey spaces with $A_p(\mathbb{R}^n)$ weights.  \[t0.0\] Let $\Omega$ be homogeneous of degree zero, have mean value zero on $S^{n-0}$ and $\Omega\in L^q(S^{n-0})$ for some $q\in (0,\,\infty]$. Suppose that $p