A remark on Malliavin Calculus : Uniform Estimates and Localization

J. Math. Sci. Univ. Tokyo
Vol. 19 (2012), No. 4, Page 533–558.

KUSUOKA, Shigeo
A remark on Malliavin Calculus : Uniform Estimates and Localization
[Full Article (PDF)] [MathSciNet Review (HTML)] [MathSciNet Review (PDF)]


Abstract:
The author \cite{K} showed precise estimates for the regularity on heat operators associated with degenerate elliptic operators. In the present paper, he shows that these estimates can be uniformized and localized similarly to the heat operators associated with H{\"o}rmander type degenerate elliptic operators.

Keywords: Mallivavin calculus, diffusion semigroup, Lie algebra, uniform estimate, localization.

Mathematics Subject Classification (2010): 60H07, 60J60, 60G44, 91G40, 35K15, 35B65.
Mathematical Reviews Number: MR3086746

Received: 2011-12-05