P. Vallois, LAW OF THE MAXIMUM AND LOCAL TIME OF A UN IFORMLY INTEGRABLE CONTINUOUS MARTINGALE, Proceedings of the London Mathematical Society, 69, 1994, pp. 399-427
We characterize the laws of the maximum (respectively the local time a
t 0) of uniformly integrable and continuous martingales started at 0.
We also give a refinement of the maximal inequality.