List questions from lp-spaces

Published on 14 Apr 2026 - 13:53

58

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Comparing the deviation of a function from its mean on concentric balls

Published on 12 Apr 2026 - 7:09

121

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equality of integrals implicates equality of functions

Published on 09 Apr 2026 - 14:24

44

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Reference for classical inequality of the mean in Lp spaces

Published on 13 Apr 2026 - 15:01

2.2k

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Norm in $l^1$ is not differentiable

Published on 09 Apr 2026 - 17:19

1.1k

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Equivalent descriptions of Sobolev spaces on compact manifolds

Published on 09 Apr 2026 - 4:40

151

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Interior and closure of a set in $(C^0[0,1], \|\cdot\|_p)$

Published on 16 Apr 2026 - 8:39

55

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Derivative is a Radon measure if time increment bounded

Published on 14 Apr 2026 - 3:23

765

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Continuity of $L_p$ norm in $p$ with $\varepsilon$-$\delta$ definition

Published on 12 Apr 2026 - 12:05

207

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Show that balls in $L^{1 + \delta}(\mu)$, with $\mu$ some finite measure, are uniformly integrable

Published on 14 Apr 2026 - 3:19

81

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Condition for a linear operator to be bounded.

Published on 08 Apr 2026 - 19:16

48

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Why is the convergence only a.e.? ($L^p$ spaces)

Published on 17 Apr 2026 - 6:45

311

Views

The distance to smooth boundary, raised to a power between $-1$ and $0$, is integrable

Published on 12 Apr 2026 - 6:03

475

Views

Cauchy but not convergent sequence in $L^1$

Published on 16 Apr 2026 - 12:19

1.7k

Views

Closed / open set in $\ell^\infty$ metric space.

Published on 25 Feb 2026 - 14:37

List Question

$L_2$ integrability of a function

Comparing the deviation of a function from its mean on concentric balls

equality of integrals implicates equality of functions

Reference for classical inequality of the mean in Lp spaces

Norm in $l^1$ is not differentiable

Equivalent descriptions of Sobolev spaces on compact manifolds

Interior and closure of a set in $(C^0[0,1], \|\cdot\|_p)$

Derivative is a Radon measure if time increment bounded

Continuity of $L_p$ norm in $p$ with $\varepsilon$-$\delta$ definition

Show that balls in $L^{1 + \delta}(\mu)$, with $\mu$ some finite measure, are uniformly integrable

Condition for a linear operator to be bounded.

Why is the convergence only a.e.? ($L^p$ spaces)

The distance to smooth boundary, raised to a power between $-1$ and $0$, is integrable

Cauchy but not convergent sequence in $L^1$

Closed / open set in $\ell^\infty$ metric space.

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