Resumen de Regularity and irregularity of \bolds(1+β)-stable super-Brownian motion
This paper establishes the continuity of the density of (1+β)-stable super-Brownian motion (0<β<1) for fixed times in d=1, and local unboundedness of the density in all higher dimensions where it exists. We also prove local unboundedness of the density in time for a fixed spatial parameter in any dimension where the density exists, and local unboundedness of the occupation density (the local time) in the spatial parameter for dimensions d≥2 where the local time exists.
