Question

Show a function is bounded Egorov's/Egoroff's theorem

score 163 · Answer 1 · 2026-04-14 09:50:56

163

Views

Show a function is bounded Egorov's/Egoroff's theorem

Published on 14 Apr 2026 - 9:50

score 62 · Answer 2 · 2026-04-16 15:18:56

62

Views

Lemma 1.6.2 from Bogachev's book

Published on 16 Apr 2026 - 15:18

score 373 · Answer 3 · 2026-04-16 16:58:35

373

Views

Let f be a real-valued function of two variables (x,y) that is defined on the square

Published on 16 Apr 2026 - 16:58

score 317 · Answer 4 · 2026-04-15 04:46:16

317

Views

Decomposition of a continuous linear functional on $L^p$ into two positive continuous l.f.

Published on 15 Apr 2026 - 4:46

score 110 · Answer 5 · 2026-04-13 13:43:50

110

Views

Sets of null (Lebesgue)-measure and sigma compacts

Published on 13 Apr 2026 - 13:43

score 203 · Answer 6 · 2026-05-10 14:07:41

203

Views

When sigma algebra of product topology equals sigma algebra of projections

Published on 10 May 2026 - 14:07

score 190 · Answer 7 · 2026-05-13 23:56:08

190

Views

Measure of stability

Published on 13 May 2026 - 23:56

score 155 · Answer 8 · 2026-04-10 03:46:47

155

Views

Random Variables - Distinction between their Domain and Image spaces.

Published on 10 Apr 2026 - 3:46

score 164 · Answer 9 · 2026-04-14 14:04:21

164

Views

why $f$ and $g$ need to be bounded

Published on 14 Apr 2026 - 14:04

score 656 · Answer 10 · 2026-04-14 02:16:23

656

Views

Every subset of a subspace of $\mathbb{R}^n$ of dim $<n$ has measure 0

Published on 14 Apr 2026 - 2:16

score 272 · Answer 11 · 2026-05-11 01:16:27

272

Views

If $Z$ is $\sigma(X,Y)$-measurable, is there a measurable $f$ with $Z=f(X,Y)$?

Published on 11 May 2026 - 1:16

score 28 · Answer 12 · 2026-04-13 03:31:24

28

Views

Function continuous in one variable, Borel in other is jointly Borel?

Published on 13 Apr 2026 - 3:31

score 57 · Answer 13 · 2026-04-15 17:54:49

57

Views

$f:[a,b] \rightarrow \Bbb R$ measurable function, $f\geq0$ a.e. If $f^{-1}((0,\infty))$ has measure $>0$ , $f^{-1}((1/n,\infty))$ does for some n.

Published on 15 Apr 2026 - 17:54

score 322 · Answer 14 · 2026-04-10 09:29:17

322

Views

Hardy Littlewood maximal function $|h(x)|<|h^*(x)|$ for almost every x

Published on 10 Apr 2026 - 9:29

score 464 · Answer 15 · 2026-04-15 13:26:58

464

Views

Showing that the almost uniform limit of functions with bounded $L_\infty$ norms is in $L_\infty$

Published on 15 Apr 2026 - 13:26

List Question

Show a function is bounded Egorov's/Egoroff's theorem

Lemma 1.6.2 from Bogachev's book

Let f be a real-valued function of two variables (x,y) that is defined on the square

Decomposition of a continuous linear functional on $L^p$ into two positive continuous l.f.

Sets of null (Lebesgue)-measure and sigma compacts

When sigma algebra of product topology equals sigma algebra of projections

Measure of stability

Random Variables - Distinction between their Domain and Image spaces.

why $f$ and $g$ need to be bounded

Every subset of a subspace of $\mathbb{R}^n$ of dim $<n$ has measure 0

If $Z$ is $\sigma(X,Y)$-measurable, is there a measurable $f$ with $Z=f(X,Y)$?

Function continuous in one variable, Borel in other is jointly Borel?

$f:[a,b] \rightarrow \Bbb R$ measurable function, $f\geq0$ a.e. If $f^{-1}((0,\infty))$ has measure $>0$ , $f^{-1}((1/n,\infty))$ does for some n.

Hardy Littlewood maximal function $|h(x)|<|h^*(x)|$ for almost every x

Showing that the almost uniform limit of functions with bounded $L_\infty$ norms is in $L_\infty$

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