A bounded Lebesgue measurable function and integral.
49884
Integral vanishes on all intervals implies the function is a.e. zero
138294
Increasing sequence of step functions and diverging Lebesgue Integrals
97735
Continuous functions are differentiable on a measurable set?
50366
Convolution is uniformly continuous and bounded
114947
Bounded variation implies Borel measurable
36149
A uniformly continuous function maps bounded set to bounded sets
117528
$f$ is bounded and continious $\Rightarrow$ the convolution integral $\int f(\tau)g(x-\tau)\text{ d}\tau$ is bounded and continuous
96286
Proving that sum of two measurable functions is measurable.
124061
Prove the reciprocal of a function is integrable if it is bounded
57462
Lebesgue Measure of the Graph of a Function
60868
Interplay of Hausdorff metric and Lebesgue measure
32347
Limit of a decreasing sequence of measurable sets.
63950
Prove that to each $\epsilon >0$, there exists a $\delta >0$ so that the Lebesgue integral...
115219
If $E$ is Lebesgue measurable, show that there exists a closed set $F$ with $F \subset E$ and $m(E\setminus F)<\epsilon$
109301
Lebesgue Integral of Non-Measurable Function
131793
Zero integral of measurable $f$ on every interval implies $f=0$?
22356
Lebesgue measurable but not Borel measurable