Recent content by jvalton1287

I don't quite understand this solution. How are all of the original measures v1, v2, ... related to this mu? I need to show that all of those initial measures are absolutely continuous w.r.t. to mu.

I think there must be some way to bound the function g(x). I'm just not sure how I can find an L1 function that serves an a.e. bound for g(x).

Homework Statement Suppose we're given some sigma-finite measures v1, v2, v3,... I want to construct \lambda such that vn is absolutely continuous w.r.t. \lambda for all n. 2. The attempt at a solution So far, I've tried thinking of making an infinite weighted (weighted by...

Lebesgue. We have LDCT, Generalized LDCT, Monotone Convergence, etc.

That's correct.

sorry, I'm not great with typing these things in LaTex format. I want to show that f(y) is integrable over [0,\infty]. f(y) is defined as the function: f(y) = \int[g(x)/(x^2)]dx with bounds [(y/2)^(1/2),\infty]. apologies for the lack of clarity.

Homework Statement Hi guys. I'm really struggling with this problem. Any help is welcomed. Suppose I have a function f(y) = \intg(x)/(x^2) on the set [(y/2)^(1/2), \infty]. g(x) is known to be integrable over all of R. I want to show that f is integrable over [0,\infty], and that the...