Question

Weird behavior of Non-Lebesgue measurable subset of the Smith–Volterra–Cantor set and pointwise convergence of a sequence of simple functions

score 211 · Answer 1 · 2026-04-15 07:10:59

211

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Weird behavior of Non-Lebesgue measurable subset of the Smith–Volterra–Cantor set and pointwise convergence of a sequence of simple functions

Published on 15 Apr 2026 - 7:10

score 173 · Answer 2 · 2026-04-14 20:14:10

173

Views

Subclasses of simple functions dense in $L^2$

Published on 14 Apr 2026 - 20:14

score 2.2k · Answer 3 · 2026-04-15 12:22:42

2.2k

Views

Complete example of haar measure on compact groups like $GL(n,R)$

Published on 15 Apr 2026 - 12:22

score 158 · Answer 4 · 2026-04-14 16:52:16

158

Views

Existence of bijection that reorders elements?

Published on 14 Apr 2026 - 16:52

score 459 · Answer 5 · 2026-04-18 18:28:54

459

Views

Let $g$ be a non-negative measurable function. Show $\int g(x)^p d\mu = \int_0^\infty p t^{p-1} m_g(t) dt$.

Published on 18 Apr 2026 - 18:28

score 230 · Answer 6 · 2026-04-16 18:57:52

230

Views

$f_n$ converges to $f$ in measure iff $f_n-f$ converges to $0$ in measure.

Published on 16 Apr 2026 - 18:57

score 310 · Answer 7 · 2026-04-14 10:48:06

310

Views

$f_n$ converge to $f$ almost everywhere (measure theory)

Published on 14 Apr 2026 - 10:48

score 112 · Answer 8 · 2026-04-14 10:10:55

112

Views

Regularity of Special Measures

Published on 14 Apr 2026 - 10:10

score 1.2k · Answer 9 · 2026-04-14 07:40:41

1.2k

Views

Absolutely continuous iff continuous of bounded variation

Published on 14 Apr 2026 - 7:40

score 180 · Answer 10 · 2026-04-15 00:14:51

180

Views

A class of functions dense in $L^2$

Published on 15 Apr 2026 - 0:14

score 507 · Answer 11 · 2026-04-14 11:45:45

507

Views

If 2-dimensional Lebesgue measure is one then $S_x$ has 1-dimensional measure of one

Published on 14 Apr 2026 - 11:45

score 867 · Answer 12 · 2026-04-12 17:03:34

867

Views

Cavalieri's Principle in measure theory

Published on 12 Apr 2026 - 17:03

score 990 · Answer 13 · 2026-04-10 19:58:42

990

Views

A basic question regarding Lebesgue's density theorem

Published on 10 Apr 2026 - 19:58

score 221 · Answer 14 · 2026-04-15 15:50:03

221

Views

Showing that $f_n\to f$ a.e. $\implies f_n\to f$ almost uniformly where $|f_n|\leq g\in L_1$

Published on 15 Apr 2026 - 15:50

score 374 · Answer 15 · 2026-04-13 12:04:40

374

Views

Lebesgue measure of the union of measurable sets

Published on 13 Apr 2026 - 12:04

List Question

Weird behavior of Non-Lebesgue measurable subset of the Smith–Volterra–Cantor set and pointwise convergence of a sequence of simple functions

Subclasses of simple functions dense in $L^2$

Complete example of haar measure on compact groups like $GL(n,R)$

Existence of bijection that reorders elements?

Let $g$ be a non-negative measurable function. Show $\int g(x)^p d\mu = \int_0^\infty p t^{p-1} m_g(t) dt$.

$f_n$ converges to $f$ in measure iff $f_n-f$ converges to $0$ in measure.

$f_n$ converge to $f$ almost everywhere (measure theory)

Regularity of Special Measures

Absolutely continuous iff continuous of bounded variation

A class of functions dense in $L^2$

If 2-dimensional Lebesgue measure is one then $S_x$ has 1-dimensional measure of one

Cavalieri's Principle in measure theory

A basic question regarding Lebesgue's density theorem

Showing that $f_n\to f$ a.e. $\implies f_n\to f$ almost uniformly where $|f_n|\leq g\in L_1$

Lebesgue measure of the union of measurable sets

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