2
$\begingroup$

I have a problem which asks to show that a function $f$ of bounded variation can be expressed uniquely except for addition of constants as the sum of an absolutely continuous function and a singular function.

I have been able to express $f$ as $f = g + h$ where $f$ is absolutely continuous and $h$ is singular. My problem lies in showing uniqueness and so I need assistance.

  • 0
    Might I suggest you post your solution (with details) as an answer? Then people may point any weaknesses (or lack thereof) in your argument, and you will eventually be allowed to accept it! That way the question will not appear as "unanswered". Thank you.2012-04-10

0 Answers 0