New posts in Measure Theory

Integral $\lim_{n \rightarrow \infty} \int_{0}^{1} \sqrt{\frac{1}{x}+n^2x^{2n}}dx$

Condition for $L^r(\mu)=L^\infty(\mu)$ where $\mu(X)=1$

How is the dominated convergence theorem applied here?

Example of a bounded linear functional $T:L^ \infty \to \mathbb{R}$ which cannot be expressed by an integral $\int_{[a,b]}fg$ for an integrable $f$

What can the range of a measure be?

Completitude of $L^1[0,1]\cap L^2[0,1]$ with the maximumm norm

Change of variables in proof of Bochner's theorem

How to show convolution is associative?

Hausdorff-dimension of non measurable sets?

Constructing an outer measure on a set whose measurable sets are exactly a given sigma algebra on the set.