Abstract
Divergence of differentiable flow — Divergence as the adjoint operator of a derivation — Non-degenerate maps and their covariance matrices — Lifting up vector fields through a non-degenerate map — Pushing down divergences — Hölder regularity under D ∞−02 hypothesis — Smoothness under D∞ hypothesis — Lifting up and pushing down through a non-degenerate D∞ map — Inverse image of a distribution — Absolute continuity of scalar functionals under D 11 hypothesis — Appendix: Computation of derivatives by means of divergence operators — Law of a weakly non degenerated map.
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© 1997 Springer-Verlag Berlin Heidelberg
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Malliavin, P. (1997). Smoothness of Laws. In: Stochastic Analysis. Grundlehren der mathematischen Wissenschaften, vol 313. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15074-6_3
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DOI: https://doi.org/10.1007/978-3-642-15074-6_3
Publisher Name: Springer, Berlin, Heidelberg
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