... subset of the corresponding squares P with the assumption Q ∈ Bad(R),because of the preceding remark. BILIPSCHITZ MAPS, ANALYTIC CAPACITY, AND THE CAUCHY INTEGRAL 1257On the other hand, in principle, ... capacity, and the Cauchy integral By Xavier Tolsa BILIPSCHITZ MAPS, ANALYTIC CAPACITY, AND THE CAUCHY INTEGRAL 1261(a) For each Q ∈ Qstp(R), dist(aQ,Q) ≤ C(Q).(b) There exists ... dist(yn+1,Lxn,yn),(4.12) BILIPSCHITZ MAPS, ANALYTIC CAPACITY, AND THE CAUCHY INTEGRAL 1265where xN+1= yN+1= z0if N<∞, and C depends on A, δ, λ (like all the following constants denoted by C in the rest of the...