New posts in measure-theory

Finding $\displaystyle \lim_{n \to \infty} \int_0^\infty \frac{e^{-x}\cos{x}}{nx^2 + \frac{1}{n}}dx$

real-analysis measure-theory

How can I extend a finitely additive measure?

measure-theory boolean-algebra

Real Analysis, Folland Problem 3.3.20 Complex Measures

real-analysis measure-theory

A sequence of measurable functions and the sup, lim sup of them

real-analysis analysis measure-theory

Composition of measurable function and continuous function

Arithmetic sequence in a Lebesgue measurable set

Approximation of measurable function by simple functions

Continuity of outer measure induced by measure from below

real-analysis measure-theory

$||f||_p\to ||f||_\infty$ under general assumptions

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

Cartesian product of two $\sigma$-algebras is generally not a $\sigma$-algebra?

measure-theory examples-counterexamples

Online videos on Measure theory.

measure-theory education online-resources

Content $0$ implies boundary has content $0$

real-analysis measure-theory

A set with measure $0$ has a translate containing no rational number.

real-analysis measure-theory lebesgue-measure rational-numbers

Metrizability of weak convergence by the bounded Lipschitz metric

analysis functional-analysis measure-theory metric-spaces

$\mathbb{R}^n\times\{0\}$ has measure zero in $\mathbb{R}^{n+1}$

real-analysis measure-theory

A question about sigma-algebras: $\sigma(Y+f(X))= \sigma(Y+X)$ if $\sigma(f(X))= \sigma(X)$?

real-analysis probability probability-theory measure-theory

Set of points at which sequence of measurable functions converge (another approach)

real-analysis measure-theory convergence-divergence

Nowhere dense subsets of $[0,1]$ with positive measure other than fat Cantor sets

measure-theory lebesgue-measure

Set and its Complement are Measure Dense

real-analysis measure-theory

Does $\mathcal P ( \mathbb R ) \otimes \mathcal P ( \mathbb R ) = \mathcal P ( \mathbb R \times \mathbb R )$?

measure-theory set-theory cardinals