New posts in measure-theory

Is every probability measure in the line induced by a random variable?

functional-analysis probability-theory measure-theory

What's the intuition behind the Co-Area formula?

measure-theory multivariable-calculus differential-geometry differential-topology geometric-measure-theory

If $f\in L^1(\mathbb{R})$ is such that $\int_{\mathbb{R}}f\phi=0$ for all continuous compactly supported $\phi$, then $f\equiv 0$.

measure-theory distribution-theory

Showing a result for simple functions

probability probability-theory measure-theory statistics statistical-inference

Calculating the Lebesgue Integral given only the measure of a set

measure-theory lebesgue-integral measurable-functions

nondecreasing rearrangement is equimeasurable

real-analysis measure-theory decreasing-rearrangements

Gauss–Ostrogradsky formula for Distributions

measure-theory sobolev-spaces distribution-theory lp-spaces

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

Representation of the dual of $C_b(X)$?

functional-analysis measure-theory

Topology on the set of partitions

general-topology measure-theory compactness equivalence-relations set-partition

Definition of "the surface measure"?

real-analysis measure-theory definition polar-coordinates

$G$ be a non-measurable subgroup of $(\mathbb R,+)$ ; $I$ be a bounded interval , then $m^(G \cap I)=m^(I)$?

real-analysis group-theory measure-theory outer-measure

Computing Radon-Nikodym derivative

measure-theory radon-nikodym

How do I prove $f=0$ almost everywhere?

real-analysis measure-theory lebesgue-integral

Bayesian Inference in Measure Theory

measure-theory reference-request probability-theory bayesian

Existence of essential supremum for an uncountable sequence of measurable functions

probability-theory measure-theory

Differentiation under (measure theoretical) integral sign

measure-theory probability-theory reference-request soft-question

Why outer measure?

Lebesgue measure-preserving differentiable function

What tools are used to show a type of convergence is or is not topologizable?

general-topology functional-analysis measure-theory probability-theory big-picture