Question

Analogue of Skorohod representation theorem for Wasserstein metric and convergence in $L^p$?

score 65 · Answer 1 · 2023-09-18 03:16:52

65

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Analogue of Skorohod representation theorem for Wasserstein metric and convergence in $L^p$?

Published on 18 Sep 2023 - 3:16

score 47 · Answer 2 · 2026-04-09 18:00:10

47

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Is an absolutely bounded function in L1 also in L2?

Published on 09 Apr 2026 - 18:00

score 21 · Answer 3 · 2026-03-27 18:57:06

21

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isomorphism between $l^{2}(Z)$and $L^{2}(S,C)$

Published on 27 Mar 2026 - 18:57

score 36 · Answer 4 · 2026-04-10 10:29:23

36

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Is inequality in the norm of $L^{\infty}$ holds for all points?

Published on 10 Apr 2026 - 10:29

score 84 · Answer 5 · 2026-04-10 20:55:15

84

Views

How to construct a random variable with finite Lp norm but infinite Lq norm for all q>p?

Published on 10 Apr 2026 - 20:55

score 81 · Answer 6 · 2026-04-11 21:25:55

81

Views

Proof that $L^p$-space is $p\wedge2$-uniformly smooth

Published on 11 Apr 2026 - 21:25

score 72 · Answer 7 · 2023-09-22 22:45:15

72

Views

$\int \lvert f_n-f\rvert^p g\rightarrow 0$ implies convergence in measure?

Published on 22 Sep 2023 - 22:45

score 56 · Answer 8 · 2026-03-25 23:11:06

56

Views

How to prove that $\frac{|u(x)-u(y)|^p}{|x-y|^{n+sp}}\in L^1(\mathbb R^{2n})$?

Published on 25 Mar 2026 - 23:11

score 57 · Answer 9 · 2026-04-11 01:12:11

57

Views

Question about convergence in Sobolev spaces

Published on 11 Apr 2026 - 1:12

score 127 · Answer 10 · 2026-04-11 15:43:27

127

Views

Bounding an integral by a Besov norm

Published on 11 Apr 2026 - 15:43

score 51 · Answer 11 · 2023-09-25 07:13:22

51

Views

An inequlaity involving an $L^p$ term

Published on 25 Sep 2023 - 7:13

score 126 · Answer 12 · 2026-04-08 21:58:54

126

Views

Convergence in weak topology implies pointwise convergence for a subsequence

Published on 08 Apr 2026 - 21:58

score 73 · Answer 13 · 2023-09-27 22:25:50

73

Views

Proving $\|fg\|_{L^1} \leq \|f\|_{L^p}^{\alpha} \|g\|_{L^q}^{1-\alpha}$

Published on 27 Sep 2023 - 22:25

score 71 · Answer 14 · 2026-03-25 17:44:35

71

Views

Let $f\in C^1(\mathbb{R})\cap L^2(\mathbb R)$ s.t. $f'\in L^2(\mathbb{R})$. Then approximate $f,f'$ by $f_n,f_n'$, where $f_n\in C_c(R).$

Published on 25 Mar 2026 - 17:44

score 42 · Answer 15 · 2026-04-11 15:25:12

42

Views

Integral as an increasing function

Published on 11 Apr 2026 - 15:25

List Question

Analogue of Skorohod representation theorem for Wasserstein metric and convergence in $L^p$?

Is an absolutely bounded function in L1 also in L2?

isomorphism between $l^{2}(Z)$and $L^{2}(S,C)$

Is inequality in the norm of $L^{\infty}$ holds for all points?

How to construct a random variable with finite Lp norm but infinite Lq norm for all q>p?

Proof that $L^p$-space is $p\wedge2$-uniformly smooth

$\int \lvert f_n-f\rvert^p g\rightarrow 0$ implies convergence in measure?

How to prove that $\frac{|u(x)-u(y)|^p}{|x-y|^{n+sp}}\in L^1(\mathbb R^{2n})$?

Question about convergence in Sobolev spaces

Bounding an integral by a Besov norm

An inequlaity involving an $L^p$ term

Convergence in weak topology implies pointwise convergence for a subsequence

Proving $\|fg\|_{L^1} \leq \|f\|_{L^p}^{\alpha} \|g\|_{L^q}^{1-\alpha}$

Let $f\in C^1(\mathbb{R})\cap L^2(\mathbb R)$ s.t. $f'\in L^2(\mathbb{R})$. Then approximate $f,f'$ by $f_n,f_n'$, where $f_n\in C_c(R).$

Integral as an increasing function

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