lebesgue measure related issues & queries in MathXchanger

Norms in the Space $NBV(\mathbb{R}$)

real-analysis measure-theory
Updated May 25, 2019 09:20 AM

Understanding definition of random variable in textbook "Basic Stochastic Processes"

probability-theory measure-theory random-variables definition borel-sets
Updated May 25, 2019 03:20 AM

Compute convolution $f*g(x)$ such that : $f,g\in L^{p}$

calculus integration measure-theory dirichlet-convolution
Updated May 24, 2019 20:20 PM

Showing $f\ge1$ a.e on $[a,b]$

measure-theory
Updated May 24, 2019 18:20 PM

Is there a Birkhoff's Ergodic Theorem for multivariate functions?

measure-theory ergodic-theory
Updated May 24, 2019 14:20 PM

The dual space of $C(Y,\mathbb R)$ when $Y$ is a complete and separable metric space

measure-theory dual-spaces
Updated May 24, 2019 12:20 PM

Solve $W_0(x)^2 - W_{-1}(x)^2 = c$ for $x<0$ with sufficiently large $c>0$

real-analysis complex-analysis algebra-precalculus measure-theory lambert-w
Updated May 24, 2019 10:20 AM

Inducing a surface area measure on $S^2$ from the Haar measure on $SO(3)$

measure-theory lie-groups topological-groups
Updated May 24, 2019 09:20 AM

Set of transport plans is closed in the weak topology

measure-theory optimal-transport
Updated May 24, 2019 07:20 AM

need an example about absolutely continuous measure

measure-theory lebesgue-measure
Updated May 24, 2019 05:20 AM

Increasing function is measurable

measure-theory measurable-functions
Updated May 23, 2019 22:20 PM

Pointwise multiplication by unbounded function throws us out of $L^2(\mu)$

functional-analysis measure-theory lp-spaces
Updated May 23, 2019 19:20 PM

Show that $\Omega \setminus N_A \ni x \mapsto 1_A(x) \cdot \int\limits_{\Upsilon} k(x,t)f(t)d\nu(t)$ is measurable

integration functional-analysis analysis measure-theory
Updated May 23, 2019 17:20 PM

Is the dirac measure is outer regular on compact Hausdorff space?

general-topology measure-theory
Updated May 23, 2019 15:20 PM

Convergence of stopping times

probability probability-theory measure-theory stochastic-processes stochastic-calculus
Updated May 23, 2019 13:20 PM

Characterization of the Borel $\sigma$-algebra on a topological quotient space

general-topology measure-theory relations quotient-spaces borel-sets
Updated May 23, 2019 13:20 PM

understanding time-homogeneous markov chain

probability-theory measure-theory definition markov-chains
Updated May 23, 2019 10:20 AM

How do I solve the volume bounded inside a solid

integration lebesgue-integral
Updated May 23, 2019 08:20 AM

Does the product of the CFs $\phi_{\mu}, \ \phi_{\lambda}$ of two finite measures correspond to the CF of the convolution of $\mu$ with $\lambda$?

probability-theory measure-theory convolution
Updated May 23, 2019 08:20 AM

maximize exponential sum $\sum_i e^{c x_i}$ with constrained $x_i$ with $c \geq 0$

real-analysis linear-algebra measure-theory optimization
Updated May 23, 2019 08:20 AM

Concentration inequality for the maximum of non-iid Gaussians

probability normal-distribution concentration-of-measure distribution-tails
Updated May 23, 2019 05:20 AM

Let $S_n = X_1 +\cdots +X_n$. Is $\sigma\left(X_j, 1 \leq j \leq n \right) = \sigma\left(S_j, 1 \leq j \leq n \right)$?

probability-theory measure-theory
Updated May 23, 2019 01:20 AM

How does the Cantor set contain more points than the boundary points of those deleted open intervals?

general-topology analysis measure-theory set-theory
Updated May 22, 2019 19:20 PM

Proving $P(y\in C\mid X=x)=\int_C \frac{f(x,y)}{f_1(x)}dy$

probability-theory measure-theory
Updated May 22, 2019 16:20 PM

A reduction problem from $\mathbb{R}^2$ to $\mathbb{R}$

real-analysis integration functional-analysis analysis measure-theory
Updated May 22, 2019 16:20 PM

Riesz Representation Theorem measure is absolutely continuos w.r.t. the Lebesgue measure?

functional-analysis lebesgue-measure riesz-representation-theorem absolute-continuity
Updated May 22, 2019 15:20 PM

If $u \in L^\infty((0,T)\times \Omega)$, does it follow that $u(t) \in L^\infty(\Omega)$ for a.e $t$?

functional-analysis lebesgue-measure lp-spaces
Updated May 22, 2019 13:20 PM

Given a Markov process, are we able to construct another Markov process with the same transition semigroup but different inital law?

probability-theory measure-theory markov-process stochastic-analysis semigroup-of-operators
Updated May 22, 2019 09:20 AM

About convergence in measure

real-analysis measure-theory lebesgue-measure
Updated May 22, 2019 09:20 AM

Extending the Homotopy formula of Federer 4.1.9 to Riemannian Manifolds

riemannian-geometry geometric-measure-theory
Updated May 22, 2019 07:20 AM

Is the Lebesgue integral equal to the Lebesgue measure of the enclosed region?

measure-theory lebesgue-integral lebesgue-measure
Updated May 22, 2019 06:20 AM

Remove even elements of partition of integration set

integration measure-theory definite-integrals
Updated May 22, 2019 02:20 AM

What is the formalism that allows Random Variables to be treated algebraically like real or complex numbers?

measure-theory random-variables
Updated May 22, 2019 00:20 AM

Harmonic Analysis on a Finitely-Generated Matrix Group

matrices harmonic-analysis haar-measure
Updated May 21, 2019 23:20 PM

Definition of a locally lifted measure

general-topology measure-theory definition dynamical-systems
Updated May 21, 2019 23:20 PM

Is the inf-convolution of two continuous functions continuous?

real-analysis measure-theory continuity semicontinuous-functions
Updated May 21, 2019 21:20 PM

Equivalent definition of the support of a measure on the Borel $\sigma$-algebra on a topological space

general-topology measure-theory
Updated May 21, 2019 18:20 PM

$f$ is Lipschitz and $X$ have measure zero. Show that $f(X)$ has measure zero too.

real-analysis calculus lebesgue-measure
Updated May 21, 2019 15:20 PM

Is the sum of two (non-real) random variables necessarily a random variable?

probability probability-theory measure-theory random-variables
Updated May 21, 2019 15:20 PM

Minkowski sum of a positive Lebesgue measure set and $\mathbb{Q}$.

real-analysis measure-theory lebesgue-measure
Updated May 21, 2019 14:20 PM

Show the map is measurable w.r.t. the product space

probability-theory measure-theory stochastic-processes
Updated May 21, 2019 09:20 AM

Example of generated sigma-algebra 2

measure-theory
Updated May 21, 2019 08:20 AM

Concentration in Gauss space

probability-theory normal-distribution concentration-of-measure
Updated May 21, 2019 08:20 AM

Let $f\in \mathscr{L}^1$. Show that for every $\epsilon$ there exists a continuous function $g$ such that $\int_X |f-g|d\mu < \epsilon$.

real-analysis measure-theory lebesgue-integral
Updated May 21, 2019 06:20 AM

Sigma algebra field for a toss of two coins

probability measure-theory
Updated May 21, 2019 06:20 AM

Is a vector of independent Brownian motions a multivariate Brownian motion?

measure-theory stochastic-processes stochastic-calculus brownian-motion
Updated May 20, 2019 20:20 PM

Covariance operator of induced measure

probability-theory measure-theory proof-verification
Updated May 20, 2019 16:20 PM

Given a càdlàg process $X$ and a measure μ on the Skorohod space, how can we show that μ is the law of $X$ up to the dependence on the initial value?

probability-theory measure-theory probability-distributions skorohod-space
Updated May 20, 2019 09:20 AM

Showing that $\mathbb P$ is a measure

measure-theory
Updated May 20, 2019 08:20 AM

Proving Borel measurability of a function.

real-analysis analysis measure-theory lebesgue-measure measurable-functions
Updated May 20, 2019 00:20 AM

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