Question

Almost everywhere convergence of functions which verify a property on the set $C_b$

score 35 · Answer 1 · 2026-03-30 10:11:38

35

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Almost everywhere convergence of functions which verify a property on the set $C_b$

Published on 30 Mar 2026 - 10:11

score 126 · Answer 2 · 2019-07-12 07:31:36

126

Views

Notions of strong and weak convergence for $L^{2}(\mathbb R, \lambda)$ where $f_{n}(x)=1_{[n,n+1]}(x)$

Published on 12 Jul 2019 - 7:31

score 1.7k · Answer 3 · 2026-03-30 10:13:21

1.7k

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Show that if the integral of function with compact support on straight line is zero, then $f$ is zero almost everywhere

Published on 30 Mar 2026 - 10:13

score 42 · Answer 4 · 2019-07-12 11:40:22

For what $p \in [1, + \infty]$ and $a \in R$ the function $u(x)=(1+|x|)^{-a}$ defined on $R^n$ verify $||u||_{L_p}< \infty$?

score 37 · Answer 5 · 2019-07-12 20:31:06

37

Views

Showing well-definedness of an equivalence class in $L^{\infty}(\mathbb R)$

Published on 12 Jul 2019 - 20:31

score 64 · Answer 6 · 2019-07-13 13:56:57

64

Views

How to show that $\vert \vert T \vert \vert = \sqrt{c}$ where $c:=\sum\limits_{j=1}^{\infty}\sum\limits_{k=1}^{\infty}\vert t_{jk}\vert^{2}$

Published on 13 Jul 2019 - 13:56

score 169 · Answer 7 · 2019-07-14 16:18:57

169

Views

Union of $l^p$, 0<p<1

Published on 14 Jul 2019 - 16:18

score 58 · Answer 8 · 2019-07-15 12:04:37

58

Views

Why if $p\not = q$ we have $L^p(R^n) \not \subseteq L^q(R^n)$?

Published on 15 Jul 2019 - 12:04

score 825 · Answer 9 · 2026-03-25 17:36:27

825

Views

Weak and classical derivatives: an overview

Published on 25 Mar 2026 - 17:36

score 67 · Answer 10 · 2019-07-17 09:43:19

67

Views

Showing that $\vert \vert x \vert \vert _{p} \xrightarrow{ p \to \infty} \vert \vert x \vert\vert_{\infty}$ for $x \in \ell^{1}$

Published on 17 Jul 2019 - 9:43

score 92 · Answer 11 · 2019-07-17 17:53:22

92

Views

If $(f-\tilde f)g=0$ for all $g\in L^q$, then $f=\tilde f$

Published on 17 Jul 2019 - 17:53

score 85 · Answer 12 · 2026-03-28 13:40:14

85

Views

Finding the operator norm of $\phi \in ((\ell^{2}, \|\cdot \|_{2}))^{*}$

Published on 28 Mar 2026 - 13:40

score 59 · Answer 13 · 2026-03-30 13:21:37

59

Views

Korn's inequality implies existence of skew symmetric $w$ such that $\|df-w\|_{L^2}\leq C'\|\mathrm{Sym}\, df\|_{L^2}$

Published on 30 Mar 2026 - 13:21

score 165 · Answer 14 · 2019-07-21 10:41:57

165

Views

$x_{n} \xrightarrow{w} 0 \iff \sup\limits_{n \in \mathbb N}\vert \vert x_{n} \vert \vert_{L^{p}} < \infty$

Published on 21 Jul 2019 - 10:41

score 59 · Answer 15 · 2026-03-25 11:16:47

59

Views

Showing that the $T: \operatorname{dom}(T) \to \ell^{2}$ is closed

Published on 25 Mar 2026 - 11:16

List Question

Almost everywhere convergence of functions which verify a property on the set $C_b$

Notions of strong and weak convergence for $L^{2}(\mathbb R, \lambda)$ where $f_{n}(x)=1_{[n,n+1]}(x)$

Show that if the integral of function with compact support on straight line is zero, then $f$ is zero almost everywhere

For what $p \in [1, + \infty]$ and $a \in R$ the function $u(x)=(1+|x|)^{-a}$ defined on $R^n$ verify $||u||_{L_p}< \infty$?

Showing well-definedness of an equivalence class in $L^{\infty}(\mathbb R)$

How to show that $\vert \vert T \vert \vert = \sqrt{c}$ where $c:=\sum\limits_{j=1}^{\infty}\sum\limits_{k=1}^{\infty}\vert t_{jk}\vert^{2}$

Union of $l^p$, 0<p<1

Why if $p\not = q$ we have $L^p(R^n) \not \subseteq L^q(R^n)$?

Weak and classical derivatives: an overview

Showing that $\vert \vert x \vert \vert _{p} \xrightarrow{ p \to \infty} \vert \vert x \vert\vert_{\infty}$ for $x \in \ell^{1}$

If $(f-\tilde f)g=0$ for all $g\in L^q$, then $f=\tilde f$

Finding the operator norm of $\phi \in ((\ell^{2}, \|\cdot \|_{2}))^{*}$

Korn's inequality implies existence of skew symmetric $w$ such that $\|df-w\|_{L^2}\leq C'\|\mathrm{Sym}\, df\|_{L^2}$

$x_{n} \xrightarrow{w} 0 \iff \sup\limits_{n \in \mathbb N}\vert \vert x_{n} \vert \vert_{L^{p}} < \infty$

Showing that the $T: \operatorname{dom}(T) \to \ell^{2}$ is closed

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