Hi everyone, I'm trying to solve some Lebesgue problems from my exercise book and I got stuck in some of them:
Prove that if a set A has zero measure, then its interior is empty. I've thinking on suppose the contrary and find an open subset of A with positive measure, but I'm not really sure if it's the right way.
True or false: f is integrable if and only if |f| is integrable over Rn. I know that if f is measurable, then it's correct, but here there is no previous condition so I don't know if the statement is true or false.
Could you give me some tips to solve it? Thanks in advance.
We have placed cookies on your device to help make this website better. You can adjust your cookie settings, otherwise we'll assume you're okay to continue.
Help with some Lebesgue measure problems
in Analysis and Calculus
Posted · Edited by john33
Hi everyone, I'm trying to solve some Lebesgue problems from my exercise book and I got stuck in some of them:
Could you give me some tips to solve it? Thanks in advance.