List questions from lp-spaces

Published on 06 Apr 2014 - 17:22

228

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How to apply the Hölder's inequality in a clever way?

Published on 07 Apr 2014 - 23:42

28

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Relation between $L^2(\mathbb{R}_+)$ and $L^1_w(\mathbb{R}_+)$

Published on 08 Apr 2014 - 13:19

1.7k

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I would like to show that $\ell^1$ is separable

Published on 08 Apr 2014 - 23:00

41k

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What does it mean to be an $L^1$ function?

Published on 31 Mar 2026 - 14:33

77

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Inequality important in $L^p$ space

Published on 10 Apr 2014 - 13:05

153

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What are the consequences of this simple property of $L^1$ functions?

Published on 10 Apr 2014 - 21:01

32

Views

How to prove $f(x)=e^{\frac{1}{x}}$ is continous in $(0,a), a>0 $ and $\int_{0}^{a}e^{\frac{y}{x}}dx, y>0$ does not exist

Published on 11 Apr 2014 - 8:17

121

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uniform equivalence to unit vector basis of $\ell_p$

Published on 30 Mar 2026 - 11:03

182

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The derivative of a function is square integrable assuming Fourier transform dominated

Published on 11 Apr 2014 - 18:54

76

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Examples of semigroups of contractive Fourier multipliers but not positive?

Published on 25 Mar 2026 - 19:10

101

Views

Isometry from $\ell^1$ to $\ell^\infty$

Published on 14 Apr 2014 - 23:15

45

Views

Is 'f' belong sobolev?

Published on 31 Mar 2026 - 9:22

190

Views

If $f\in L^1$ has a compact support and $0 \leq p \leq1$ then $|f|^p\in L^1$

Published on 31 Mar 2026 - 17:59

37

Views

What assumptions are needed to get two integrals close to each other?

Published on 17 Apr 2014 - 1:42

List Question

When is this function in Lp?

How to apply the Hölder's inequality in a clever way?

Relation between $L^2(\mathbb{R}_+)$ and $L^1_w(\mathbb{R}_+)$

I would like to show that $\ell^1$ is separable

What does it mean to be an $L^1$ function?

Inequality important in $L^p$ space

What are the consequences of this simple property of $L^1$ functions?

How to prove $f(x)=e^{\frac{1}{x}}$ is continous in $(0,a), a>0 $ and $\int_{0}^{a}e^{\frac{y}{x}}dx, y>0$ does not exist

uniform equivalence to unit vector basis of $\ell_p$

The derivative of a function is square integrable assuming Fourier transform dominated

Examples of semigroups of contractive Fourier multipliers but not positive?

Isometry from $\ell^1$ to $\ell^\infty$

Is 'f' belong sobolev?

If $f\in L^1$ has a compact support and $0 \leq p \leq1$ then $|f|^p\in L^1$

What assumptions are needed to get two integrals close to each other?

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