Malliavin calculus of Bismut type for fractional powers of Laplacians in semi-group theory
type: Item
instance of: scholarly article
title: Malliavin calculus of Bismut type for fractional powers of Laplacians in semi-group theory
zbMATH Open document ID: 1247.60080
DOI: 10.1155/2011/575383
author: Rémi Léandre
published in: International Journal of Differential Equations
publication date: 2012-03-08T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 60H07
Mathematics Subject Classification ID: 60J60
Mathematics Subject Classification ID: 47D03
zbMATH DE Number: 6013204
zbMATH Keywords: semigroup theory
zbMATH Keywords: Bismut's Calculus
zbMATH Keywords: Malliavin Calculus
Wikidata QID: Q58686804
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2011/575383
OpenAlex ID: W2088914265
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description: scientific article; zbMATH DE number 6013204