Question

Two sequences in L2 have product converging in L1

score 1.7k · Answer 1 · 2026-04-13 14:43:03

1.7k

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Two sequences in L2 have product converging in L1

Published on 13 Apr 2026 - 14:43

score 105 · Answer 2 · 2026-04-09 06:20:57

105

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A question about Lp spaces

Published on 09 Apr 2026 - 6:20

score 45 · Answer 3 · 2026-04-13 05:12:35

45

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Is it possible to bound $L^2 (\mathbb{R}^3)$-functions around zero by $a |x|^{-3/2 + \gamma}$ for $a,\gamma >0$?

Published on 13 Apr 2026 - 5:12

score 54 · Answer 4 · 2026-03-25 11:54:16

54

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Is the function $(d(x,\partial\Omega))^{-\gamma}$ in $L^p(\Omega)$ for $\gamma$ small enough?

Published on 25 Mar 2026 - 11:54

score 247 · Answer 5 · 2026-04-13 18:31:42

247

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function in $L_2$ space that is $f=0$ almost everywhere

Published on 13 Apr 2026 - 18:31

score 612 · Answer 6 · 2026-04-15 19:47:47

612

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if $\int|f_n| \rightarrow \int |f|$, then $\int |f-f_n| \rightarrow 0$

Published on 15 Apr 2026 - 19:47

score 28 · Answer 7 · 2026-04-15 09:59:56

28

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What mean $\nabla f_n$ converge weakly to $\nabla f$ in $L^p$?

Published on 15 Apr 2026 - 9:59

score 92 · Answer 8 · 2026-04-16 10:45:40

92

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Prove $\|f\|_{L^p(E)} \rightarrow \|f\|_{L^{\infty}(E)}$ as $p \rightarrow \infty$

Published on 16 Apr 2026 - 10:45

score 702 · Answer 9 · 2026-04-14 22:53:34

702

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Convergence of Fourier inverse theorem and Fourier series

Published on 14 Apr 2026 - 22:53

score 85 · Answer 10 · 2026-04-16 03:20:16

85

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example of $(f_n)$ does not converge pointwise, but $f_n \rightarrow 0$ in $L^1[0, 1]$

Published on 16 Apr 2026 - 3:20

score 61 · Answer 11 · 2026-04-12 04:12:18

61

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Convergence rate for $\int_{\{f\ge n\}}|f(x)|\,dx$ for $f\in L^1(\Omega)$

Published on 12 Apr 2026 - 4:12

score 65 · Answer 12 · 2026-04-10 23:32:12

65

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Measure Theory: Convergence of Random Variables

Published on 10 Apr 2026 - 23:32

score 47 · Answer 13 · 2026-04-16 06:41:45

47

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Show that $\|f_h\|_{\infty} \leq h^{-1/p}\|f\|_p$

Published on 16 Apr 2026 - 6:41

score 1.8k · Answer 14 · 2026-04-13 02:50:55

1.8k

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Meaning of the notation $L^2(\mathbb{R}^3)$ and its generalization

Published on 13 Apr 2026 - 2:50

score 32 · Answer 15 · 2026-04-16 01:41:05

32

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Why $\int_{\mathbb R^n}\varphi(z)\int_{\mathbb R^n}\left|u(x-\frac{z}{n})\right|^p\,dx\,dz\leq \|u\|^p$

Published on 16 Apr 2026 - 1:41

List Question

Two sequences in L2 have product converging in L1

A question about Lp spaces

Is it possible to bound $L^2 (\mathbb{R}^3)$-functions around zero by $a |x|^{-3/2 + \gamma}$ for $a,\gamma >0$?

Is the function $(d(x,\partial\Omega))^{-\gamma}$ in $L^p(\Omega)$ for $\gamma$ small enough?

function in $L_2$ space that is $f=0$ almost everywhere

if $\int|f_n| \rightarrow \int |f|$, then $\int |f-f_n| \rightarrow 0$

What mean $\nabla f_n$ converge weakly to $\nabla f$ in $L^p$?

Prove $\|f\|_{L^p(E)} \rightarrow \|f\|_{L^{\infty}(E)}$ as $p \rightarrow \infty$

Convergence of Fourier inverse theorem and Fourier series

example of $(f_n)$ does not converge pointwise, but $f_n \rightarrow 0$ in $L^1[0, 1]$

Convergence rate for $\int_{\{f\ge n\}}|f(x)|\,dx$ for $f\in L^1(\Omega)$

Measure Theory: Convergence of Random Variables

Show that $\|f_h\|_{\infty} \leq h^{-1/p}\|f\|_p$

Meaning of the notation $L^2(\mathbb{R}^3)$ and its generalization

Why $\int_{\mathbb R^n}\varphi(z)\int_{\mathbb R^n}\left|u(x-\frac{z}{n})\right|^p\,dx\,dz\leq \|u\|^p$

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