Surface measures generated by differentiable measures (Q283444)

The authors summarize the contents of this paper in the abstract of the paper as follows: We study surface measures on level sets of functions on general probability spaces with measures differentiable along vector fields and suggest a new simple construction. Our construction applies also to level sets of mappings with values in finite-dimensional spaces. The standard surface measures arising for Gaussian measures in the Malliavin calculus can be obtained in this way. A positive answer is given to a question raised by M. Röckner concerning continuity of surface measures with respect to a parameter.