List questions from lp-spaces

Published on 16 Apr 2026 - 11:04

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Convergence in $L^p$ and convergence almost everywhere

Published on 17 Apr 2026 - 13:40

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Integration of periodic function $f \in L^1([0, 2\pi])$

Published on 14 Apr 2026 - 4:36

674

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Orthogonal of an Hilbert subspace and density

Published on 14 Apr 2026 - 0:10

441

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Counter Example for Limit of $\|f\|_p$ in infinity convergence, When Measure space is not finite

Published on 15 Apr 2026 - 2:44

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Poincaré's inequality proof for $u \in W_0^{1,p}(\Omega)$.

Published on 19 Apr 2026 - 4:05

51

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Convergence in $L^2(\Bbb R)$ implies convergence of the norms

Published on 16 Apr 2026 - 14:49

84

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Bounding $L_p$ norms on a convergent $L_1$ sequence

Published on 21 Apr 2026 - 9:08

256

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If $p$ is a distribution, what is the meaning of the claim $\nabla p\in L^p(\Omega)^d$

Published on 28 Mar 2026 - 1:26

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Showing that $\log (\log 1+\frac{1}{|x|})$ belongs to $W^{1,p}(\Omega)$ for $p \geq 2$.

Published on 19 Apr 2026 - 4:09

261

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Proof of the Helmholtz-Hodge decomposition

Published on 28 Mar 2026 - 1:35

101

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Finding $f \in L^p(\mathbb{R}^n)$ such that $\hat{f} \notin L^p(\mathbb{R}^n)$

Published on 15 Apr 2026 - 5:21

138

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Show that $L^2(0,1)=\operatorname{span}\{e^{2\pi inx}\}_{n\in \mathbb Z}$

Published on 25 Apr 2026 - 18:47

68

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Estimate Sobolev function by its derivative on a ball

Published on 19 Apr 2026 - 12:07

582

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Sequence of Functions on $[0,1]$ with Derivatives Bounded by $L^1$ Function

Published on 11 Apr 2026 - 8:57

List Question

Constructing an $L^2$ space on the unit ring $\mathcal{S^1}$

Convergence in $L^p$ and convergence almost everywhere

Integration of periodic function $f \in L^1([0, 2\pi])$

Orthogonal of an Hilbert subspace and density

Counter Example for Limit of $\|f\|_p$ in infinity convergence, When Measure space is not finite

Poincaré's inequality proof for $u \in W_0^{1,p}(\Omega)$.

Convergence in $L^2(\Bbb R)$ implies convergence of the norms

Bounding $L_p$ norms on a convergent $L_1$ sequence

If $p$ is a distribution, what is the meaning of the claim $\nabla p\in L^p(\Omega)^d$

Showing that $\log (\log 1+\frac{1}{|x|})$ belongs to $W^{1,p}(\Omega)$ for $p \geq 2$.

Proof of the Helmholtz-Hodge decomposition

Finding $f \in L^p(\mathbb{R}^n)$ such that $\hat{f} \notin L^p(\mathbb{R}^n)$

Show that $L^2(0,1)=\operatorname{span}\{e^{2\pi inx}\}_{n\in \mathbb Z}$

Estimate Sobolev function by its derivative on a ball

Sequence of Functions on $[0,1]$ with Derivatives Bounded by $L^1$ Function

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