# 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 Radon-Nikodym 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.

.

**Follow-Ups**:**Re: simple measure theory question***From:*Michael J Hardy

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**References**:**simple measure theory question***From:*Michael J Hardy

**Re: simple measure theory question***From:*ArtflDodgr

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