# Regularity of probability laws by using an interpolation method

@article{Bally2016RegularityOP, title={Regularity of probability laws by using an interpolation method}, author={Vlad Bally and Lucia Caramellino}, journal={arXiv: Probability}, year={2016}, pages={83-114} }

One of the outstanding applications of Malliavin calculus is the criterion of regularity of the law of a functional on the Wiener space (presented in Section 2.3). The functional involved in such a criterion has to be regular in Malliavin sense, i.e., it has to belong to the domain of the differential operators in this calculus. As long as solutions of stochastic equations are concerned, this amounts to regularity properties of the coefficients of the equation.

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