New posts in lebesgue-measure

Proving measurable function: Real versus rational number [duplicate]

real-analysis analysis measure-theory lebesgue-measure

Prove sum of the lengths of intervals in a finite covering of $\mathbb{Q}\cap [0,1]$ is $\geq 1$

real-analysis measure-theory proof-verification lebesgue-measure

$f :\mathbb R \to \mathbb R$ be a bijective Lebesgue measurable function , then is $f^{-1}:\mathbb R \to \mathbb R$ Lebesgue measurable?

measure-theory lebesgue-measure measurable-functions

Show that for every set $A \subset \mathbb R^n$ lebesgue measurable $\int_{A} f_n dx\rightarrow \int_{A} f dx.$ [closed]

real-analysis measure-theory lebesgue-integral lebesgue-measure measurable-functions

On a relation between volume of subsets of $\mathbb R^n$

real-analysis measure-theory lebesgue-measure volume

Sum of Dirac measures is not regular

measure-theory lebesgue-measure dirac-delta

Derivative of $\Gamma(t):=\max_{u\leq t} \int_u^t \gamma \,\mathrm d\lambda$

integration derivatives lebesgue-integral lebesgue-measure queueing-theory

Intuition for $N(\mu, \sigma^2)$ in terms of its infinite expansion

probability-theory normal-distribution lebesgue-measure central-limit-theorem gaussian-integral

A Vitali set is non-measurable, direct proof, without using countable additivity

real-analysis measure-theory lebesgue-measure

Cartesian Product of Borel Sets is Borel Again

analysis measure-theory self-learning lebesgue-measure

Volume of the intersection of the unit ball with a polyhedral cone

linear-algebra lebesgue-measure volume convex-geometry convex-cone

Prove that if $B$ is the set of rationals in $[0,1]$ with a finite subcover, then: $1 \leq \sum_{k=1}^n m^*(I_k)$

real-analysis measure-theory lebesgue-measure

If a sequence $f_n$ is bounded in $L^2$ and converges to zero a.e., then $f_n\to 0$ in $L^p$ for $0<p<2$

real-analysis lebesgue-integral lp-spaces lebesgue-measure

Can you give me an example of $A,B,C \subset{\mathbb{R}}$ with $A = B\setminus C$ but $\mu(A) \neq \mu(B) - \mu(C)$? [closed]

measure-theory lebesgue-measure

Is there any example of a non-measurable set whose proof of existence doesn't appeal to the Axiom of choice?

measure-theory lebesgue-measure axiom-of-choice foundations

A question about Measurable function

real-analysis analysis measure-theory lebesgue-integral lebesgue-measure

Sum of two sequences of functions converging in measure still converges in measure

real-analysis measure-theory convergence-divergence lebesgue-measure

Show $\gamma(t)\leq 0$ for almost all $t$ with $\max_{u\leq t} \int_u^t \gamma \,\mathrm d\lambda = 0$

measure-theory lebesgue-integral lebesgue-measure queueing-theory

Are the measurable spaces $(\mathbb{R}^n, Bor(\mathbb{R}^n))$ and $(\mathbb{R}^m, Bor(\mathbb{R}^m))$ isomorphic for $n\neq m$

measure-theory lebesgue-measure

Two inequalities about using Fatou Lemma

real-analysis lebesgue-integral lebesgue-measure