New posts in measure-theory

Meaning of convergence in $L^1$ norm

measure-theory convergence-divergence

Introductory measure theory textbook

measure-theory soft-question

Graph of real continuous function has measure zero

real-analysis measure-theory

Subset of the preimage of a semicontinuous real function is Borel

real-analysis measure-theory borel-sets semicontinuous-functions

Pushforward measure integral property

analysis measure-theory

Where are measurable functions not locally integrable?

Intuitive Explanation of Why the Power Set of $\mathbb{R}$ is "too big" for the Lebesgue Measure?

measure-theory lebesgue-measure

How do I evaluate: $\limsup_{x\to0-}\frac{\sqrt{-x\sin^2(\ln |x|)}}{x}$?

measure-theory limsup-and-liminf

Prove $\mu^(A)=\nu(A)$ if there exists a cover $A\subset \cup_{n\geq1} B_n$ and $\mu^(B_n)<\infty \;\forall n\geq 1$

measure-theory outer-measure

How to find an irrational number in this case?

real-analysis measure-theory

Why is the inner measure problematic?

measure-theory definition lebesgue-measure motivation outer-measure

How to solve this estimate $m\{t \in[a, b]:|f(t)| \leq \varepsilon\} \leq 4\left(q ! \frac{\varepsilon}{2 \beta}\right)^{\frac{1}{q}}$

real-analysis integration analysis measure-theory lebesgue-measure

The cardinality of Lebesgue sets

real-analysis measure-theory elementary-set-theory

Show a set E is measurable iff its characteristic function is measurable.

measure-theory characteristic-functions

Is the product of two measurable subsets of $R^d$ measurable in $R^{2d}$?

measure-theory products

Weird measurable set

measure-theory examples-counterexamples

Reference request: product Borel $\sigma$-algebra of non-separable metric spaces

real-analysis measure-theory reference-request examples-counterexamples

Decomposition of a finite measure on the sum of an atomless measure and a purely atomic measure

What does a simple function actually mean?

real-analysis measure-theory

Showing a function is measurable in a product measure space