Questions about abstract measure and Lebesgue integral theory. Also concerns such properties as measurability of maps and sets.

**-1**

**0**answers

### Approximation by regular sets

**0**

**0**answers

### Reformulate Wasserstein constraint optimization on product space in terms of marginal

**1**

**0**answers

### Invariance of simple functions

**1**

**1**answer

### A distribution which is Wasserstein-close to a compactly supported distribution is almost compactly supported

**0**

**1**answer

### Differences between the reduced Borel field and the category algebra of a space

**0**

**1**answer

### Operator power of another operator

**17**

**6**answers

### Lebesgue measure theory applications

**0**

**0**answers

### A variant of the optimal transport

**1**

**0**answers

### Is that correct $\mathbb R^2\cong\mathbb R$ as measurable spaces? [closed]

**2**

**1**answer

### Schwartz space on $\bigcup_{n=1}^CR^n$

**3**

**0**answers

### Cadlag and adapted (usual conditions assumed) imply progressively measurable (related to Protter's Stochastic Calculus theorem 6)

**2**

**1**answer

### Improving equi-integrability for a family $\mathcal F$ in $L^1(\Omega)$

**3**

**0**answers

### A conjecture characterizing almost uniform convergence of finitely additive conditional probabilities

**1**

**0**answers

### Nonlinear maps in Riesz Thorin theorem

**2**

**0**answers

### Dependency of the Wasserstein distance on the parameter: a differential perspective

**0**

**0**answers

### On measurability in Wiener space

**7**

**2**answers

### Non-separable metric probability space

**3**

**0**answers

### Measure of set of vectors whose outer product are bounded

**1**

**1**answer

### are there measure preserving mapping in this case?

**3**

**1**answer

### Function square-integrable

**0**

**1**answer

### Questions on a new definition of continuous multivariate distribution

**1**

**2**answers

### Number theory on Banach space $L^2(\mathbb R)$ meets linear independence?

**2**

**0**answers

### Volume of critical points decrease under symmetric decreasing rearrangements?

**2**

**0**answers

### Can countable additivity be removed from this elementary proof of martingale convergence of conditional probabilities?

**9**

**1**answer

### Can a big set always look small?

**2**

**1**answer

### Closedness of the set of probability measures anihilating a measurable function

**1**

**1**answer

### Convergence of measurable functions in a locally compact space

**2**

**1**answer

### Optimal-score partitions

**4**

**0**answers

### A quantity that distinguishes finer than Hausdorff dimension

**2**

**0**answers

### Probability bound involving random, convex sets

**2**

**1**answer

### Support of functions in Fourier domain

**4**

**2**answers

### Can the differential entropy of a continuous distribution with lebesgue integrable density be negative infinity?

**7**

**0**answers

### When is Radon-Nikodym derivative induced by a proper map of manifolds bounded?

**5**

**2**answers

### Von Neumann's theorem on realizing automorphisms of the measure algebra

**1**

**1**answer

### Borel $\sigma$-algebra on the space of Hölder continuous functions

**3**

**0**answers

### Antisymmetry of the stochastic order

**2**

**2**answers

### Non-probabilist term for conditional expectation?

**2**

**0**answers

### Parametric distances on product spaces of measures

**1**

**0**answers

### Are the sets whose convex hull surface admits multiple representations a shy set of sets?

**9**

**0**answers

### Covering inequality for sets of intervals

**3**

**1**answer

### automorphisms of a measurable space can be approximated by continuous measure preserving maps?

**1**

**1**answer

### How small can a set admitting a nonatomic finite measure be?

**3**

**0**answers

### $L^p$-spaces for locally convex spaces

**1**

**1**answer

### Infinitely many independent functions that are only frequency localized?

**4**

**1**answer

### Non-linear translation invariant functionals on $L^1$

**8**

**1**answer

### Is the measurable space $(\omega_1,\mathcal{P}(\omega_1))$ separable?

**2**

**1**answer

### How “compact” are sets of finite measure?

**1**

**0**answers

### The Rise and Fall of Dictators & How it Depends on Our Choice

**3**

**2**answers

### Existence of a separating affine functional

**3**

**0**answers