Resumen de On transition semigroups of (A,Ψ)-superprocesses with immigration

Wilhelm Stannat

• We study the global properties of transition semigroups (pν,Ψ,At) of (A,Ψ)-superprocesses over compact type spaces with possibly nonzero immigration ν in various function spaces. In particular, we compare the different rates of convergence of (pν,Ψ,At) to equilibrium. Our analysis is based on an explicit formula for the Gateaux derivative of pν,Ψ,AtF.