# 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} }

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.

#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 20 REFERENCES

## Stochastic evolution equations in UMD Banach spaces

VIEW 1 EXCERPT