Corpus ID: 117775147

A version of H\"ormander's theorem in 2-smooth Banach spaces

@article{Shamarova2013AVO,
  title={A version of H\"ormander's theorem in 2-smooth Banach spaces},
  author={Evelina Shamarova},
  journal={arXiv: Probability},
  year={2013}
}
  • Evelina Shamarova
  • Published 2013
  • Mathematics
  • arXiv: Probability
  • We consider a stochastic evolution equation in a 2-smooth Banach space with a densely and continuously embedded Hilbert subspace. We prove that under H\"ormander's bracket condition, the image measure of the solution law under any finite-rank bounded linear operator is absolutely continuous with respect to the Lebesgue measure. To obtain this result, we apply methods of the Malliavin calculus.