 $\widetilde{\mathcal{M}}_{\Omega,\,b}^{l,\,j_0}$ $$\widetilde{\mathcal{M}}_{\Omega,\,b}^{l,\,j_0}f(x)=\Big(\int^0_0\sum_{j\in\mathbb{Z}:j> j_0}\big|F_{j,\,b}^lf(x,\,t)\big|^0{\rm d}t\Big)^{\frac{0}{0}},$$ 