Capacities in Wiener space, quasi-sure lower functions, and Kolmogorov's [epsilon]-entropy

We propose a set-indexed family of capacities on the classical Wiener space . This family interpolates between the Wiener measure () on and the standard capacity () on Wiener space. We then apply our capacities to characterize all quasi-sure lower functions in . In order to do this we derive the following capacity estimate which may be of independent interest: There exists a constant a>1 such that for all r>0, Here, denotes the Kolmogorov [epsilon]-entropy of G, and f[small star, filled]:=sup[0,1]f.