Malliavin calculus of Bismut type for fractional powers of Laplacians in semi-group theory
Summary: We translate into the language of semi-group theory Bismut's calculus on boundary processes [\textit{J. M. Bismut}, Ann. Sci. Éc. Norm. Supér., IV Sér. 17, 507--622 (1984; Zbl 0561.60081)] which gives regularity result on the heat kernel associated with fractional powers of degenerated Laplacian. We translate into the language of semi-group theory the marriage of Bismut [loc. cit.] between the Malliavin Calculus of Bismut type on the underlying diffusion process and the Malliavin Calculus of Bismut type on the subordinator which is a jump process.
scientific article; zbMATH DE number 6013204
scientific article