Assumption B.3 is analogous to Assumption 8 in Rothe (2009) and can be interpreted as a high-level condition on the propensity score estimator

There exists a space P such that Pp ˆP P Pq Ñ 1, ş8 0 a log N pλ, P, || ¨ ||8qdλ ă 8 where N pλ, P, || ¨ ||8q is the covering number with respect to theL8 norm of the class of functions P · 2009