New posts in measure-theory

Basic Geometric intuition, context is undergraduate mathematics

geometry measure-theory advice nonstandard-analysis synthetic-differential-geometry

Projective limit of spaces of probability measures is bijective to the space of probability measures on a projective limit.

general-topology functional-analysis analysis measure-theory

Two implications of an operator that preserves positivity on L2

measure-theory operator-theory lp-spaces holder-inequality contraction-operator

Weak convergence of continuous functions

functional-analysis measure-theory

A measurable function equal to a countable sum of characteristic functions?

real-analysis measure-theory

Where DCT does not hold but Vitali convergence theorem does

$f \in L^{p}(\mathbb{R}^n),$where $p>1,\int{f\phi}=0$ for all $\phi\in C_c(\mathbb{R}^n)$ implies $f$ vanishes almost everywhere.

measure-theory lp-spaces

Is Lebesgue integral w.r.t. counting measure the same thing as sum (on an arbitrary set)?

real-analysis sequences-and-series measure-theory summation lebesgue-integral

Weak topologies and weak convergence - Looking for feedbacks

real-analysis functional-analysis measure-theory probability-theory self-learning

Absolutely continuous maps measurable sets to measurable sets

real-analysis measure-theory measurable-sets

Is there a Lebesgue measurable subset $A \subset R$ such that for every interval $(a,b)$ we have $0 < \lambda(A\cap(a,b))< (b-a)$ [duplicate]

real-analysis measure-theory lebesgue-measure

Must the Minkowski sum of a Borel set and a closed ball be Borel?

Prove that Cantor function is Hölder continuous

real-analysis measure-theory holder-spaces

Identity operator on $L^2(\mathbb{R}^d)$

real-analysis functional-analysis measure-theory operator-theory integral-operators

Why is the first return map measure preserving?

measure-theory ergodic-theory

Is a vector of independent Brownian motions a multivariate Brownian motion?

measure-theory stochastic-processes stochastic-calculus brownian-motion

Why complete measure spaces? [duplicate]

Equality condition in Minkowski's inequality for $L^{\infty}$

real-analysis measure-theory inequality

Show that $(x_{n})_{n}$ is dense in $[0,1]\setminus A$ then it is also dense in $[0,1]$

real-analysis general-topology measure-theory

Lebesgue space and weak Lebesgue space

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