Perturbation of triangular resolvents and balayage of excessive pairs (Q1266322)

Let \((X_i,B_i)\), \(i=1,2\), be two measurable spaces and \(N\) be a triangular kernel defined on \((X,B)= (x_1+x_2, B_1+B_2)\). This article starts with some properties of the cone \(S_N\) of \(N\)-excessive pairs and those of the reduite with respect to \(S_N\). Then relying on the paper of \textit{N. Bouleau} [J. Math. Pures Appl. (9) 59, 187-240 (1980; Zbl 0428.60086)] the author studies the effects of the perturbation of triangular resolvents, the balayage and the duality.