A version of the Hormander-Malliavin theorem in 2-smooth Banach spaces

作者:Shamarova Evelina*
来源:Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2014, 17(1): 1450004.
DOI:10.1142/S0219025714500040

摘要

We consider a stochastic evolution equation in a 2-smooth Banach space with a densely and continuously embedded Hilbert subspace. We prove that under Hormander%26apos;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.

  • 出版日期2014-3