Re: simple measure theory question
 From: mjhardy@xxxxxxx (Michael J Hardy)
 Date: Sat, 26 Apr 2008 02:00:03 +0000 (UTC)
ArtflDodgr (artfldodgr@xxxxxxx) wrote:
Always.
Let mu and nu denote the images of m and n under the
transformation X. For example,
mu(B) = m( X^1}(B) )
when B is a Borel subset of the line. The absolute continuity
of m with respect to n implies the same for mu with
respect to nu, and the usual change of variables formula
for integrals then shows that the RadonNikodym derivative
of mu with respect to nu is the identity function.
I think you missed two points:
(1) There is a counterexample to your assertion,
which I mentioned in my initial posting;
(2) My actual question. This was found at the
bottom of my initial posting.  Mike Hardy
PS: I think you missed what "X" is, too.
.
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