List questions from lp-spaces

Published on 19 Nov 2015 - 20:25

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Averages of integral and$ L^p$ space problem

Published on 16 Apr 2026 - 23:08

517

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If $f \in L^{p_1}$ and $f \in L^{p_2}$ with $1 \le p_1 \lt p_2 \lt \infty$, then $f \in L^{p}$ for all $p$ such that $p_1 \leq p \leq p_2$.

Published on 16 Apr 2026 - 3:27

57

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a Direct computation of infinitesimal generator

Published on 27 Mar 2026 - 11:29

40

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In the space $l_1$,$0$ is not in $conv^* \{e_i\}$

Published on 13 Apr 2026 - 21:23

132

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What does it mean the notation $L^2(0,T;U)$?

Published on 14 Apr 2026 - 17:50

103

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Question on $ L^p $ spaces inequalities to prove limit exists

Published on 14 Apr 2026 - 2:38

275

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Composing a continuous function with an $L^p$ function.

Published on 10 Apr 2026 - 18:43

2.1k

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Unit sphere in $L^p([0,1])$ is not compact.

Published on 13 Apr 2026 - 20:08

169

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Conditional expectation of an $L^p$ random variable

Published on 12 Apr 2026 - 5:51

3k

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Injectivity of Fourier transform between $L^1(\mathbb{R})$ and $C_0(\mathbb{R})$

Published on 16 Apr 2026 - 14:31

130

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Convergence in $L^p$ spaces

Published on 23 Nov 2015 - 14:55

3.6k

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Function in $L^p$ but not in $L^{\infty}$

Published on 12 Apr 2026 - 14:36

22

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{$g_n$}$_{n \in\mathbb{N}}$ converges to $g$ in $L^q(\mathbb{R^n})$ then {$A_f(g_n)$}$_{n \in \mathbb{N}}$ in $\mathbb{C}$ converges to $A_f(g)$.

Published on 16 Apr 2026 - 20:07

31

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$\nabla \sqrt{\rho} \in L^2(\mathbb{R}^3) \implies \rho \in L^3(\mathbb{R}^3)$

Published on 15 Apr 2026 - 12:58

List Question

Weak convergence in $L^2(0,T;L^2)$ and a $\limsup$

Averages of integral and$ L^p$ space problem

If $f \in L^{p_1}$ and $f \in L^{p_2}$ with $1 \le p_1 \lt p_2 \lt \infty$, then $f \in L^{p}$ for all $p$ such that $p_1 \leq p \leq p_2$.

a Direct computation of infinitesimal generator

In the space $l_1$,$0$ is not in $conv^* \{e_i\}$

What does it mean the notation $L^2(0,T;U)$?

Question on $ L^p $ spaces inequalities to prove limit exists

Composing a continuous function with an $L^p$ function.

Unit sphere in $L^p([0,1])$ is not compact.

Conditional expectation of an $L^p$ random variable

Injectivity of Fourier transform between $L^1(\mathbb{R})$ and $C_0(\mathbb{R})$

Convergence in $L^p$ spaces

Function in $L^p$ but not in $L^{\infty}$

{$g_n$}$_{n \in\mathbb{N}}$ converges to $g$ in $L^q(\mathbb{R^n})$ then {$A_f(g_n)$}$_{n \in \mathbb{N}}$ in $\mathbb{C}$ converges to $A_f(g)$.

$\nabla \sqrt{\rho} \in L^2(\mathbb{R}^3) \implies \rho \in L^3(\mathbb{R}^3)$

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