v\in [0,T]$, the following equalities are satisfied $$\begin{aligned}             & \lim_{\varepsilon\downarrow 0}\operatorname*{ess\,sup}_{u\in (v,v+\varepsilon)}\|(\nabla^\frac{H}{0}\psi_r)(u)-(\nabla^\frac{H}{0}\psi_r)(v)\|_{\mathbb{D}^{0,0}}