List questions from lp-spaces

Published on 13 Apr 2026 - 14:18

357

Views

$L^p + L^r$ is complete

Published on 16 Apr 2026 - 3:52

74

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Existence of disjoint $A, B$ such that $0 < \mu(A), \mu(B) < \infty$.

Published on 16 Apr 2026 - 12:55

92

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General formula for the circumference of the $\|1\|_p$-ball

Published on 15 Apr 2026 - 8:40

282

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Poisson's equation estimate: $\Vert u\Vert_{L^{\infty}(\Omega)}\leq\frac{1}{8}A+B$

Published on 16 Apr 2026 - 0:22

76

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$f \in L_p(1,\infty ))$ if and only if $p \geq 2$

Published on 17 Apr 2026 - 3:51

98

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The space $\ell^p(a_n)$

Published on 14 Apr 2026 - 19:45

292

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Application of Closed Graph Theorem for l2 space

Published on 26 Mar 2026 - 1:26

69

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supremum and summation Inequality

Published on 13 Apr 2026 - 14:29

291

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Sobolev spaces involving time

Published on 06 May 2026 - 1:20

89

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$L^p$ norm of $e_n(x)=e^{2\pi inx}$

Published on 14 Apr 2026 - 19:44

318

Views

On a proof of Riesz-Thorin with the tensor power trick

Published on 15 Apr 2026 - 0:28

75

Views

The sequence $T_n(f)=\int_0^\infty \frac{x^n}{n!}e^{-x}f(x)dx$ in ${L^\infty}^$ is not weak-$$ seq. compact

Published on 17 Apr 2026 - 5:45

43

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Measure Theory , Lp spaces measurable sets

Published on 11 Apr 2026 - 2:07

144

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$f\in L^1\implies \lim_{n\rightarrow\infty}f(n^2 x)=0$ a.e. $x\in\mathbb{R}$?

Published on 17 Apr 2026 - 6:23

List Question

Determining whether a singular endpoint is of limit-circle or limit-point case.

$L^p + L^r$ is complete

Existence of disjoint $A, B$ such that $0 < \mu(A), \mu(B) < \infty$.

General formula for the circumference of the $\|1\|_p$-ball

Poisson's equation estimate: $\Vert u\Vert_{L^{\infty}(\Omega)}\leq\frac{1}{8}A+B$

$f \in L_p(1,\infty ))$ if and only if $p \geq 2$

The space $\ell^p(a_n)$

Application of Closed Graph Theorem for l2 space

supremum and summation Inequality

Sobolev spaces involving time

$L^p$ norm of $e_n(x)=e^{2\pi inx}$

On a proof of Riesz-Thorin with the tensor power trick

The sequence $T_n(f)=\int_0^\infty \frac{x^n}{n!}e^{-x}f(x)dx$ in ${L^\infty}^$ is not weak-$$ seq. compact

Measure Theory , Lp spaces measurable sets

$f\in L^1\implies \lim_{n\rightarrow\infty}f(n^2 x)=0$ a.e. $x\in\mathbb{R}$?

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