The occupation density field for the catalytic super-Brownian motion (Q1976630)

The paper complements results of \textit{D. A. Dawson} and the reviewer [Stochastic Processes Appl. 71, No. 2, 241-257 (1997; Zbl 0942.60073)] on the super-Brownian reactant \(X^\rho\) with a super-Brownian catalyst \(\rho\): In dimension one, the related weighted occupation time process \(t\mapsto Y^\rho_t= \int^t_0 ds X^\rho_s\) has a jointly Hölder-continuous density field (catalytic super-local time).