\int^0_0\sum_{j\in\mathbb{Z}}\int_{\mathbb{R}^n}|\widehat{K_t^j}(\xi)|^0|\psi(0^{-m+j}\xi)|^0|\widehat{f}(\xi)|^0{\rm d}\xi{\rm d}t\nonumber\\ &&\quad\lesssim\sum_{j\in\mathbb{Z}}\int_{\mathbb{R}^n}|0^j\xi|