List questions from geometric-measure-theory

Published on 23 Mar 2026 - 18:40

28

Views

quantifying ratios of infinite areas of differing sizes? e.g., in descending order: $x^2$ vs. $x$ vs. ln$x$ vs. cos$x$ vs $1/x$

Published on 25 Dec 2020 - 3:47

226

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Showing two measures are equal up to scalar multiplication.

Published on 31 Dec 2020 - 14:08

37

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How to prove uniqueness of approximate "jump" values of an $L^1$ function?

Published on 31 Dec 2020 - 16:34

175

Views

how to show that if $\int_{}f=\int^{}f$ then $f$ is measurable and $\int f=\int_{}f=\int^{}f$

Published on 03 Jan 2021 - 17:42

61

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Expected measure of a ball in a probability space with a metric

Published on 25 Mar 2026 - 6:58

472

Views

2-dimensional Lebesgue measure of certain sets in $R^3$

Published on 05 Jan 2021 - 2:48

208

Views

More Examples of Positive Measures on Manifolds

Published on 11 Jan 2021 - 0:32

354

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On a core of the Neumann Laplacian

Published on 26 Mar 2026 - 19:01

52

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Are maximizers of a Lipschitz functions similar to those of its extension?

Published on 17 Jan 2021 - 8:33

28

Views

Standard terminology for Federer's "lattice of functions"?

Published on 25 Mar 2026 - 18:48

99

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Show that an annulus has small Hausdorff measure

Published on 26 Mar 2026 - 16:26

123

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How many times can $C^{1}$ strictly convex functions intersect on a bounded interval?

Published on 26 Mar 2026 - 16:26

48

Views

Approximation of rectifiable sets

Published on 03 Feb 2021 - 19:19

944

Views

How complicated can Lipschitz domains be?

Published on 05 Feb 2021 - 11:39

List Question

Why is the cone measurable?

quantifying ratios of infinite areas of differing sizes? e.g., in descending order: $x^2$ vs. $x$ vs. ln$x$ vs. cos$x$ vs $1/x$

Showing two measures are equal up to scalar multiplication.

How to prove uniqueness of approximate "jump" values of an $L^1$ function?

how to show that if $\int_{}f=\int^{}f$ then $f$ is measurable and $\int f=\int_{}f=\int^{}f$

Expected measure of a ball in a probability space with a metric

2-dimensional Lebesgue measure of certain sets in $R^3$

More Examples of Positive Measures on Manifolds

On a core of the Neumann Laplacian

Are maximizers of a Lipschitz functions similar to those of its extension?

Standard terminology for Federer's "lattice of functions"?

Show that an annulus has small Hausdorff measure

How many times can $C^{1}$ strictly convex functions intersect on a bounded interval?

Approximation of rectifiable sets

How complicated can Lipschitz domains be?

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