New posts in measure-theory

Reverse Holder Inequality $\|fg\|_1\geq\| f\|_{\frac{1}{p}}\|g\|_{-\frac{1}{p-1}}$

measure-theory holder-inequality

Borel Measures: Atoms vs. Point Masses

general-topology measure-theory elementary-set-theory definition

Show that if $E$ is not measurable, then there is an open set $O$ containing $E$ that has finite outer measure and for which $m^(O-E)>m^(O)-m^*(E)$

measure-theory proof-verification self-learning

Can you give me an example of $A,B,C \subset{\mathbb{R}}$ with $A = B\setminus C$ but $\mu(A) \neq \mu(B) - \mu(C)$? [closed]

measure-theory lebesgue-measure

Disintegration of Haar measures

measure-theory harmonic-analysis topological-groups locally-compact-groups haar-measure

Questions about Fubini's theorem

integration measure-theory

Topology and Borel sets of extended real line

general-topology measure-theory proof-verification infinity

Extension of Pratt's Lemma

probability probability-theory measure-theory

Hausdorff measure for Lebesgue measurable sets?

measure-theory dimension-theory-analysis

Is there any example of a non-measurable set whose proof of existence doesn't appeal to the Axiom of choice?

measure-theory lebesgue-measure axiom-of-choice foundations

Connection between separable measure spaces and $\sigma$-finite measure spaces

general-topology functional-analysis measure-theory reference-request

Borel algebra is generated by the collection of all half-open intervals

If $X$ is a Lévy process, why is $t\mapsto\sum_{\substack{s\in[0,\:t]\\\Delta X_s(\omega)}}1_B(\Delta X_s(\omega))$ càdlàg?

probability-theory measure-theory stochastic-processes levy-processes

space of bounded measurable functions

measure-theory functional-analysis banach-spaces

Generating the Borel $\sigma$-algebra on $C([0,1])$

measure-theory probability-theory stochastic-processes

A question about Measurable function

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

How to show $\mathcal{L}(\mathbb{R}) \otimes \mathcal{L}(\mathbb{R}) \subset \mathcal{L}(\mathbb{R^2})$?

general-topology measure-theory

Show that the total variation distance of probability measures $\mu,\nu$ is equal to $\frac{1}{2}\sup_f\left|\int f\:{\rm d}(\nu-\mu)\right|$

probability-theory measure-theory total-variation signed-measures

Real Analysis, Folland Problem 1.3.15 Measures

real-analysis measure-theory

Unbounded subset of $\mathbb{R}$ with positive Lebesgue outer measure