Equation 18.34.81BF37D25A2C8

\begin{equation} \sup _{t\in J} \left(\| \partial _ t^ kB_{v_ t}\| _\infty +\| \partial _ t^ k\beta _{v_ t}\| _{\mathrm{TV}}\right) \leq CL^ k(k!)^ s\qquad (k\geq 0). \end{equation}