New posts in measure-theory

Integral of the derivative of a function of bounded variation

calculus measure-theory functional-analysis bounded-variation

Is Cesaro convergence still weaker in measure?

probability sequences-and-series measure-theory convergence-divergence

Characterization of sets in $\mathcal F^X_t =\sigma(\{X_s: s\leq t\})$ where $(X_t)_t$ is a stochastic process

probability-theory measure-theory stochastic-processes

Why is the Lebesgue-Stieltjes measure a measure?

A counter-example to Radon-Nikodym Theorem?

Equivalent measures if integral of $C_b$ functions is equal

analysis measure-theory

How to explain connections between bounded Radon-Nikodym derivatives, convex combinations of probabilities, and conditional probability

probability-theory measure-theory

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

Limit of Lebesgue measure of interesection of a set $E$ with its translation

There exist meager subsets of $\mathbb{R}$ whose complements have Lebesgue measure zero

real-analysis general-topology measure-theory baire-category

Moments and weak convergence of probability measures

real-analysis analysis measure-theory convergence-divergence

Bound on variation $|F(x)-F(y)|$ where $F$ is Cantor's function

measure-theory cantor-set

Conditional expectation of pullback of sigma algebra

real-analysis probability measure-theory dynamical-systems ergodic-theory

Show that $(L^{p},\|\|_{p})$ is a Banach space.

real-analysis functional-analysis measure-theory proof-verification lp-spaces

When $L^p \subset L^q$ for $p <q$.

real-analysis measure-theory lp-spaces

Proving that if $f>0$ and $\int_E f =0$, then $E$ has measure $0$

real-analysis measure-theory

If $\int_A f\,dm = 0$ for all $A$ having some fixed measure $C$, then $f = 0$ almost everywhere

real-analysis analysis measure-theory lebesgue-integral almost-everywhere

Proving completeness of Nikodym Metric

real-analysis measure-theory metric-spaces cauchy-sequences

Are there some strategies to prove a set has measure zero?

real-analysis measure-theory

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

real-analysis measure-theory lebesgue-measure volume