On Chung’s law of the iterated logarithm for the Brownian time Lévy’s area process

Let WW be a standard Brownian motion and LL be Lévy’s area process independent of WW. For all t≥0t≥0, we define the Brownian time Lévy’s area process by setting: Y(t)=L(|W(t)|)Y(t)=L(|W(t)|). In this paper we give Chung’s LIL for YY.