A large deviation principle for (r,p)-capacities on the Wiener space

Abstract We prove that (r,p)-capacities on the abstract Wiener space satisfy a large deviation principle with the rate function (1/2)|w|_H², where H is the Cameron-Martin subspace. As an application, we show that the functional type law of iterated logarithm for the Brownian motion holds in (r,p)-capacities.