Is the given function measurable?
48679
measurability of supremum of a class of functions
113778
Show that $E=\{(x,\alpha)\mid 0\leq \alpha<|f(x)|\}$ is measurable if $f$ is measurable.
9159
$L^p$-norm of a non-negative measurable function
146707
Formally show that the set of continuous functions is not measurable
66391
Show that $f(x+y)=f(x)+f(y)$ implies $f$ continuous $\Leftrightarrow$ $f$ measurable
83825
$f^{-1}([-\infty,r))$ measurable for all rational numbers $r$
121504
Supremum of a product measurable function...
56303
Why this definition for Lebesgue measurable functions?
131793
Zero integral of measurable $f$ on every interval implies $f=0$?
84263
A Lebesgue measure question
125024
Is this function uniformly continuous?
98098
Show that $\mu_{F}$ is a measure on $(\mathbb{R},\mathcal{S})$.
59581
A function which is continuous in one variable and measurable in other is jointly measurable
68811
If $f$ is Lebesgue integrable on $[0,2]$ and $\int_E fdx=0$ for all measurable set E such that $m(E)=\pi/2$. Prove or disprove that $f=0$ a.e.
102549
Check the differentiability of the given function.
112323
Showing that $f = 0 $ a.e. if for any measurable set $E$, $\int_E f = 0$
87216
Lebesgue non-measurable function