Question

Dual of Lp is Lq: Detail for Surjectivity?

score 1k · Answer 1 · 2026-04-12 04:02:11

1k

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Dual of Lp is Lq: Detail for Surjectivity?

Published on 12 Apr 2026 - 4:02

score 91 · Answer 2 · 2026-04-17 03:46:05

91

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Prove that $\lim_{p\to \infty}\Big(\frac{1}{\mu(A)}\int_{A}|f|^p\Big)^{1/p}=\|f\|_{\infty}$

Published on 17 Apr 2026 - 3:46

score 172 · Answer 3 · 2026-04-13 03:27:02

172

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closed linear span of $\{ e_n : n \in \mathbb{N} \}$ in $l^{\infty}$

Published on 13 Apr 2026 - 3:27

score 165 · Answer 4 · 2026-04-14 19:10:22

165

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$f \in L^p(]0,1[)$ almost everywhere.

Published on 14 Apr 2026 - 19:10

score 445 · Answer 5 · 2026-04-16 16:08:35

445

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Convolution of a compactly supported $f \in L^1(\mathbb{R}^n)$ with a function $g \in L^1_{\text{loc}}(\mathbb{R}^n)$

Published on 16 Apr 2026 - 16:08

score 28 · Answer 6 · 2026-04-16 11:05:28

28

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Is $\int_{0}^{1}\frac{\|f\|_{L^p(0,x)}}{x}dx $ controlled by $\|f\|_{L^p(0,1)}$

Published on 16 Apr 2026 - 11:05

score 68 · Answer 7 · 2026-04-12 13:07:57

68

Views

A classical example of a sequence satisfy the strict inclusions of sequences

Published on 12 Apr 2026 - 13:07

score 91 · Answer 8 · 2026-04-12 22:30:53

91

Views

Can a Banach limit be invariant to any rearrangment of the argument?

Published on 12 Apr 2026 - 22:30

score 23 · Answer 9 · 2026-04-10 03:27:34

23

Views

Norm of a linear operator on $l^1$

Published on 10 Apr 2026 - 3:27

score 227 · Answer 10 · 2026-04-13 15:55:18

227

Views

Translation and scaling invariance of the Hardy-Littlewood maximal function

Published on 13 Apr 2026 - 15:55

score 123 · Answer 11 · 2026-04-11 20:33:10

123

Views

Question on continuous injection between $L^p$ spaces

Published on 11 Apr 2026 - 20:33

score 46 · Answer 12 · 2026-04-15 17:58:53

46

Views

Find a density function $g$ that verify the following integrale convergence and divergence.

Published on 15 Apr 2026 - 17:58

score 217 · Answer 13 · 2026-04-14 14:43:23

217

Views

Is the space of all constant functions closed in $C^1[0,1]$ with respect to $L^2$-norm?

Published on 14 Apr 2026 - 14:43

score 60 · Answer 14 · 2026-04-13 12:36:40

60

Views

Metric space - an example

Published on 13 Apr 2026 - 12:36

score 97 · Answer 15 · 2026-04-17 05:11:30

97

Views

Are they known properties for the self-convolution application $H : f \mapsto f \star f$?

Published on 17 Apr 2026 - 5:11

List Question

Dual of Lp is Lq: Detail for Surjectivity?

Prove that $\lim_{p\to \infty}\Big(\frac{1}{\mu(A)}\int_{A}|f|^p\Big)^{1/p}=\|f\|_{\infty}$

closed linear span of $\{ e_n : n \in \mathbb{N} \}$ in $l^{\infty}$

$f \in L^p(]0,1[)$ almost everywhere.

Convolution of a compactly supported $f \in L^1(\mathbb{R}^n)$ with a function $g \in L^1_{\text{loc}}(\mathbb{R}^n)$

Is $\int_{0}^{1}\frac{\|f\|_{L^p(0,x)}}{x}dx $ controlled by $\|f\|_{L^p(0,1)}$

A classical example of a sequence satisfy the strict inclusions of sequences

Can a Banach limit be invariant to any rearrangment of the argument?

Norm of a linear operator on $l^1$

Translation and scaling invariance of the Hardy-Littlewood maximal function

Question on continuous injection between $L^p$ spaces

Find a density function $g$ that verify the following integrale convergence and divergence.

Is the space of all constant functions closed in $C^1[0,1]$ with respect to $L^2$-norm?

Metric space - an example

Are they known properties for the self-convolution application $H : f \mapsto f \star f$?

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