New posts in measure-theory

Is the integral $\int_1^\infty\frac{x^{-a} - x^{-b}}{\log(x)}\,dx$ convergent?

measure-theory integration

Question on Egorov's Theorem: How do you find such $E_{\epsilon}$ sets?

real-analysis measure-theory pointwise-convergence

Lebesgue-counting product measure of the diagonal

real-analysis measure-theory lebesgue-integral

Difference between Measurable and Borel Measurable function

functional-analysis measure-theory

How should I understand the $\sigma$-algebra in Kolmogorov's zero-one law?

measure-theory probability-theory

Essentially bounded function on $\mathbb{R}$

real-analysis measure-theory

Medial Limit of Mokobodzki (case of Banach Limit)

functional-analysis measure-theory set-theory cardinals

A question about regularity of Borel measures

Prove $\int_X |f|^p=p\int^{\infty}_{0} t^{p-1}\mu({x: |f(x)>t}) dt\,$ [duplicate]

Two questions about uniform integrability

probability-theory measure-theory probability-limit-theorems uniform-integrability

Almost everywhere (ae) Homogeneous function of degree $0$ equals to a constant for ae $x \in (0,\infty)$ provided $ f $ is measurable?

integration measure-theory real-analysis

Question about definition of Semi algebra

abstract-algebra measure-theory

Example of atoms with respect to $ \mu$

probability-theory measure-theory

Showing that there do not exist uncountably many independent, non-constant random variables on $ ([0,1],\mathcal{B},\lambda) $.

probability-theory measure-theory random-variables lebesgue-measure independence

Examples of perfect sets.

analysis measure-theory examples-counterexamples

Axiom of choice, non-measurable sets, countable unions

real-analysis logic measure-theory set-theory axiom-of-choice

Advantage of accepting non-measurable sets

measure-theory soft-question set-theory axiom-of-choice

Is there a set $A \subset [0,1]$ such that both $A$ and $[0,1] \setminus A$ intersect every positive-measure set?

measure-theory descriptive-set-theory borel-sets

Why a 'collection' of sets and not a 'set' of sets in sigma-algebra

measure-theory terminology

Do differentiable functions preserve measure zero sets? Measurable sets?

real-analysis measure-theory examples-counterexamples