List questions from lebesgue-measure

Published on 15 Apr 2026 - 10:44

51

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Constructing a continuous $g$ on $[a,b]$

Published on 14 Apr 2026 - 0:48

132

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Set of points $x$ in $[0,1]$ supporting a decimal expansion without $2$'s and $3$'s and find $m(E)$

Published on 15 Apr 2026 - 21:33

276

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If the sets $A_k$ are measurable and disjoint then the simple function $s=\sum\limits_k \alpha_k\chi_{A_k}$ is measurable

Published on 15 Apr 2026 - 20:14

873

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Is $\delta$ in $L^\infty$?

Published on 11 Apr 2026 - 19:21

82

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Rate of rationals in a closed set

Published on 16 Apr 2026 - 15:22

185

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The $L^p$ norm on small sets is small

Published on 14 Apr 2026 - 5:14

518

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Prove that if $A_n$ is a sequence of measurable sets then $\lambda(\liminf A_k) \leq \liminf\lambda(A_k)$

Published on 16 Apr 2026 - 4:41

230

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Using Lebesgue dominated convergence theorem

Published on 11 Apr 2026 - 21:21

89

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Measuring functions that are defined almost everywhere

Published on 12 Apr 2026 - 9:29

1.2k

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$f :\mathbb R \to \mathbb R$ be a bijective Lebesgue measurable function , then is $f^{-1}:\mathbb R \to \mathbb R$ Lebesgue measurable?

Published on 15 Apr 2026 - 17:55

119

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Measure theory: explanation for a theorem similar to Egorov

Published on 14 Apr 2026 - 23:54

717

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Dense transfer of a set with positive Lebesgue measure: is it conull?

Published on 15 Apr 2026 - 8:45

130

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If $A$ has measure zero, then is there $x$ such that $A \cap (A-x)=\emptyset$?

Published on 16 Apr 2026 - 2:25

947

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Converse of Lebesgue Monotone Convergence Theorem

Published on 15 Apr 2026 - 9:30

List Question

Measuribility of Set

Constructing a continuous $g$ on $[a,b]$

Set of points $x$ in $[0,1]$ supporting a decimal expansion without $2$'s and $3$'s and find $m(E)$

If the sets $A_k$ are measurable and disjoint then the simple function $s=\sum\limits_k \alpha_k\chi_{A_k}$ is measurable

Is $\delta$ in $L^\infty$?

Rate of rationals in a closed set

The $L^p$ norm on small sets is small

Prove that if $A_n$ is a sequence of measurable sets then $\lambda(\liminf A_k) \leq \liminf\lambda(A_k)$

Using Lebesgue dominated convergence theorem

Measuring functions that are defined almost everywhere

$f :\mathbb R \to \mathbb R$ be a bijective Lebesgue measurable function , then is $f^{-1}:\mathbb R \to \mathbb R$ Lebesgue measurable?

Measure theory: explanation for a theorem similar to Egorov

Dense transfer of a set with positive Lebesgue measure: is it conull?

If $A$ has measure zero, then is there $x$ such that $A \cap (A-x)=\emptyset$?

Converse of Lebesgue Monotone Convergence Theorem

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