Question

Choosing a "canonical" representant of a class of measurable functions based on the essential range

score 43 · Answer 1 · 2026-03-25 13:56:58

43

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Choosing a "canonical" representant of a class of measurable functions based on the essential range

Published on 25 Mar 2026 - 13:56

score 92 · Answer 2 · 2026-04-11 14:42:49

92

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Does a Lebesgue measurable set E exist with this property?

Published on 11 Apr 2026 - 14:42

score 333 · Answer 3 · 2026-04-17 01:04:59

333

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If Lebesgue integral of nonnegative measurable function on $[0,x]$ is one-to-one, is $f$ positive almost everywhere?

Published on 17 Apr 2026 - 1:04

score 49 · Answer 4 · 2026-04-12 07:32:20

49

Views

How I can write a negligible compact set?

Published on 12 Apr 2026 - 7:32

score 98 · Answer 5 · 2026-04-10 21:06:14

98

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How can I say about these two compact sets?

Published on 10 Apr 2026 - 21:06

score 339 · Answer 6 · 2026-04-14 04:20:49

339

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A function finite almost everywhere but NOT Lebesgue integrable

Published on 14 Apr 2026 - 4:20

score 34 · Answer 7 · 2026-04-12 16:47:53

34

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Are there doubly (left- and right-) perfect sets with Lebesgue measure zero?

Published on 12 Apr 2026 - 16:47

score 112 · Answer 8 · 2026-04-14 07:24:24

112

Views

Showing that there is a point belonging to $2000$ sets.

Published on 14 Apr 2026 - 7:24

score 36 · Answer 9 · 2026-04-13 23:36:20

36

Views

Relation between colections of Borel sets and open sets for a full support measure.

Published on 13 Apr 2026 - 23:36

score 115 · Answer 10 · 2026-04-12 06:36:55

115

Views

Unbounded on every interval except null set but finite a.e

Published on 12 Apr 2026 - 6:36

score 86 · Answer 11 · 2026-04-14 07:06:14

86

Views

$L^p$ Approximation of a $L^p$ function on $\Bbb R$ for $1\leq p<\infty$

Published on 14 Apr 2026 - 7:06

score 24 · Answer 12 · 2026-04-12 05:32:02

24

Views

Question regarding measure theory and Lebesgue integral

Published on 12 Apr 2026 - 5:32

score 44 · Answer 13 · 2026-04-17 07:50:03

44

Views

$f:[0,1]\rightarrow[0,1]$, measurable, and $\int_{[0,1]}f(x)dx=y\implies m\{x:f(x)>\frac{y}{2}\}\geq\frac{y}{2}$.

Published on 17 Apr 2026 - 7:50

score 313 · Answer 14 · 2026-04-14 16:45:26

313

Views

A question for a measurable function $g$ on a finite measure space such that $fg\in L^p$ for all $f\in L^p$

Published on 14 Apr 2026 - 16:45

score 101 · Answer 15 · 2026-04-14 01:17:52

101

Views

Inequality concerning functions quadratic decay of distribution $m(|f|>\lambda)\leq C\lambda^{-2}$

Published on 14 Apr 2026 - 1:17

List Question

Choosing a "canonical" representant of a class of measurable functions based on the essential range

Does a Lebesgue measurable set E exist with this property?

If Lebesgue integral of nonnegative measurable function on $[0,x]$ is one-to-one, is $f$ positive almost everywhere?

How I can write a negligible compact set?

How can I say about these two compact sets?

A function finite almost everywhere but NOT Lebesgue integrable

Are there doubly (left- and right-) perfect sets with Lebesgue measure zero?

Showing that there is a point belonging to $2000$ sets.

Relation between colections of Borel sets and open sets for a full support measure.

Unbounded on every interval except null set but finite a.e

$L^p$ Approximation of a $L^p$ function on $\Bbb R$ for $1\leq p<\infty$

Question regarding measure theory and Lebesgue integral

$f:[0,1]\rightarrow[0,1]$, measurable, and $\int_{[0,1]}f(x)dx=y\implies m\{x:f(x)>\frac{y}{2}\}\geq\frac{y}{2}$.

A question for a measurable function $g$ on a finite measure space such that $fg\in L^p$ for all $f\in L^p$

Inequality concerning functions quadratic decay of distribution $m(|f|>\lambda)\leq C\lambda^{-2}$

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