List questions from lebesgue-measure

Published on 12 Apr 2026 - 4:03

119

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Lipschitz maps cannot increase the volume of a Borel set by a factor greater than $k^n$.

Published on 13 Apr 2026 - 16:18

418

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Describing Lebesgue measurable sets by G-delta and F-sigma sets

Published on 25 Mar 2026 - 13:55

185

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Density and Outer Measure

Published on 11 Apr 2026 - 8:15

839

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Radon-Nikodym derivative for discrete measures

Published on 09 Apr 2026 - 22:49

426

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Discrete measure and Lebesgue measurability

Published on 12 Apr 2026 - 15:48

198

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Cantor Ternary Set Problem, Ternary Expansions

Published on 12 Apr 2026 - 8:57

148

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Redefining the determinant

Published on 15 Apr 2026 - 21:26

193

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Integrability of $\frac{1}{(x^2+y^2+z^2)^a}$ on $E=\{(x,y,z)\in \mathbb{R}^3: z>1, \ z^2(x^2+y^2)<1 \}$

Published on 15 Apr 2026 - 16:29

142

Views

If $g\in L^1[0,1]$ satisfies $\int_{[0,1]} fg~dx=0$ for all $f\in C[0,1]$ then $g=0$

Published on 16 Apr 2026 - 14:03

522

Views

Covering all rationals in (0,1) by open intervals of total lenght epsilon. Is there any real in (0,1) not in the covering?

Published on 15 Apr 2026 - 9:33

405

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For measurable $f: \mathbb{R} \rightarrow \mathbb{R}$ prove $f(x)$ and $\frac{1}{f(1/x)}$ cannot both be Lebesgue integrable.

Published on 15 Apr 2026 - 22:44

329

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Lebesgue Measure: Is it Optimal?

Published on 10 Apr 2026 - 22:05

108

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Is the sets in density topology Euclidean $G_\delta$?

Published on 25 Mar 2026 - 13:55

74

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A sufficient condition for a Lebesgue point

Published on 15 Apr 2026 - 20:12

List Question

How to prove this function is L-continuous almost-everywhere?

Lipschitz maps cannot increase the volume of a Borel set by a factor greater than $k^n$.

Describing Lebesgue measurable sets by G-delta and F-sigma sets

Density and Outer Measure

Radon-Nikodym derivative for discrete measures

Discrete measure and Lebesgue measurability

Cantor Ternary Set Problem, Ternary Expansions

Redefining the determinant

Integrability of $\frac{1}{(x^2+y^2+z^2)^a}$ on $E=\{(x,y,z)\in \mathbb{R}^3: z>1, \ z^2(x^2+y^2)<1 \}$

If $g\in L^1[0,1]$ satisfies $\int_{[0,1]} fg~dx=0$ for all $f\in C[0,1]$ then $g=0$

Covering all rationals in (0,1) by open intervals of total lenght epsilon. Is there any real in (0,1) not in the covering?

For measurable $f: \mathbb{R} \rightarrow \mathbb{R}$ prove $f(x)$ and $\frac{1}{f(1/x)}$ cannot both be Lebesgue integrable.

Lebesgue Measure: Is it Optimal?

Is the sets in density topology Euclidean $G_\delta$?

A sufficient condition for a Lebesgue point

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