English

Regularity of Wiener functionals under a H\"ormander type condition of order one

Probability 2017-05-16 v3

Abstract

We study the local existence and regularity of the density of the law of a functional on the Wiener space which satisfies a criterion that generalizes the H\"ormander condition of order one (that is, involving the first order Lie brackets) for diffusion processes.

Keywords

Cite

@article{arxiv.1307.3942,
  title  = {Regularity of Wiener functionals under a H\"ormander type condition of order one},
  author = {V. Bally and L. Caramellino},
  journal= {arXiv preprint arXiv:1307.3942},
  year   = {2017}
}
R2 v1 2026-06-22T00:51:34.598Z