Question

Integral over X as supremum of integrals over finite subsets of X.

score 1.3k · Answer 1 · 2026-04-08 20:03:41

1.3k

Views

Integral over X as supremum of integrals over finite subsets of X.

Published on 08 Apr 2026 - 20:03

score 167 · Answer 2 · 2026-04-13 13:26:39

167

Views

Proving $m\lambda(E_m)\le\sum_{k=1}^{\infty}\lambda(A_k)$

Published on 13 Apr 2026 - 13:26

score 618 · Answer 3 · 2026-04-16 12:36:53

618

Views

sequence of Lebesgue measurable sets $A_k$ such that $A_k\subset[0,1]$, $\lim \lambda(A_k)=1$, but $\lim \inf A_k=\emptyset$.

Published on 16 Apr 2026 - 12:36

score 200 · Answer 4 · 2026-04-16 02:27:05

200

Views

$A_k\subset\mathbb{R}$ such that $\lim\sup A_k=\mathbb{R}$ but $\lambda(A_k)=1$ (Lebesgue measure) for all $k$.

Published on 16 Apr 2026 - 2:27

score 552 · Answer 5 · 2026-04-12 17:15:25

552

Views

Measure defined by integration of function w.r.t the other measure

Published on 12 Apr 2026 - 17:15

score 3.4k · Answer 6 · 2026-04-16 09:19:07

3.4k

Views

Generalization of Fatou's lemma for nonpositive but bounded measurable functions.

Published on 16 Apr 2026 - 9:19

score 296 · Answer 7 · 2026-04-14 08:50:23

296

Views

Existence of subsequence such that integration converge

Published on 14 Apr 2026 - 8:50

score 7.4k · Answer 8 · 2026-04-14 14:42:08

7.4k

Views

Is the Dirac delta function $L^1$ integrable?

Published on 14 Apr 2026 - 14:42

score 1.8k · Answer 9 · 2026-04-12 21:58:36

1.8k

Views

"Differential" of a measure

Published on 12 Apr 2026 - 21:58

score 646 · Answer 10 · 2026-04-16 03:53:37

646

Views

Lebesgue integral of $x^{-3/4}$ is finite

Published on 16 Apr 2026 - 3:53

score 395 · Answer 11 · 2026-04-12 18:13:02

395

Views

Sequence of functions converging to function in $L^2$

Published on 12 Apr 2026 - 18:13

score 237 · Answer 12 · 2026-04-16 20:00:43

237

Views

Prove that $\sup_k f_k, \inf_k f_k, \lim \sup_k f_k, \lim \inf_k f_k, \lim_k f_k$ (if it exists) are all M-measurable.

Published on 16 Apr 2026 - 20:00

score 1.2k · Answer 13 · 2026-04-11 03:56:22

1.2k

Views

Question on Proof of Fourier's Uncertainty Principle

Published on 11 Apr 2026 - 3:56

score 124 · Answer 14 · 2026-04-17 10:26:03

124

Views

$|f(t) - f(s) |\leq \int_s^t g $ then $f(t) - f(s) = \int_s^t h.$

Published on 17 Apr 2026 - 10:26

score 2.9k · Answer 15 · 2026-04-18 08:27:31

2.9k

Views

Generalization of absolute continuity with $f(x) = x^a \sin(1/x^b)$

Published on 18 Apr 2026 - 8:27

List Question

Integral over X as supremum of integrals over finite subsets of X.

Proving $m\lambda(E_m)\le\sum_{k=1}^{\infty}\lambda(A_k)$

sequence of Lebesgue measurable sets $A_k$ such that $A_k\subset[0,1]$, $\lim \lambda(A_k)=1$, but $\lim \inf A_k=\emptyset$.

$A_k\subset\mathbb{R}$ such that $\lim\sup A_k=\mathbb{R}$ but $\lambda(A_k)=1$ (Lebesgue measure) for all $k$.

Measure defined by integration of function w.r.t the other measure

Generalization of Fatou's lemma for nonpositive but bounded measurable functions.

Existence of subsequence such that integration converge

Is the Dirac delta function $L^1$ integrable?

"Differential" of a measure

Lebesgue integral of $x^{-3/4}$ is finite

Sequence of functions converging to function in $L^2$

Prove that $\sup_k f_k, \inf_k f_k, \lim \sup_k f_k, \lim \inf_k f_k, \lim_k f_k$ (if it exists) are all M-measurable.

Question on Proof of Fourier's Uncertainty Principle

$|f(t) - f(s) |\leq \int_s^t g $ then $f(t) - f(s) = \int_s^t h.$

Generalization of absolute continuity with $f(x) = x^a \sin(1/x^b)$

Trending Questions

Popular # Hahtags

Popular Questions