List questions from lp-spaces

Published on 03 Feb 2017 - 2:09

87

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Maximum of finite $L^p$ functions is in $L^p$.

Published on 03 Feb 2017 - 20:25

386

Views

Question on uniformly convexity of $L^p$ spaces and Hanner's inequality

Published on 03 Feb 2017 - 22:57

345

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Proof of a condition of Vitali convergence theorem

Published on 04 Feb 2017 - 0:51

303

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Intermediate value theorem for integral over measurable space

Published on 04 Feb 2017 - 3:58

789

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Representation of $L^2$ and $H^2$ spaces by sequences

Published on 25 Mar 2026 - 14:24

78

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The norm $L ^ p$ of $f$ is bigger than the norm of $f$ minus its mean?

Published on 06 Feb 2017 - 2:56

645

Views

Every $L_q$ function as a product of $L_p$ and $L_r$ functions

Published on 07 Feb 2017 - 8:56

212

Views

Uniform estimate for Laplacian eigenfunctions

Published on 29 Mar 2026 - 19:53

59

Views

How do I show that an operator on $L^p[0,1]$ taking $a.e.$ convergent sequence to an $a.e.$ convergent sequence is always continuous?

Published on 09 Feb 2017 - 7:18

42

Views

$\left(\|u^p\|_{L^\infty}\right)^{1/p}=\|u\|_{L^\infty}$

Published on 09 Feb 2017 - 17:08

32

Views

Is $L^{N}(\Omega) $ closed in $L^{2}(\Omega)$?

Published on 09 Feb 2017 - 20:23

89

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Existence of a subsequence in $L^{2}$

Published on 10 Feb 2017 - 1:12

421

Views

How to complete the proof

Published on 10 Feb 2017 - 3:21

143

Views

Verify that $\lVert\cdot\rVert_1$ is a vector norm <triangular inequality>

Published on 10 Feb 2017 - 4:49

List Question

How to extend decay estimates $L^p$ to $L^{\infty}$?

Maximum of finite $L^p$ functions is in $L^p$.

Question on uniformly convexity of $L^p$ spaces and Hanner's inequality

Proof of a condition of Vitali convergence theorem

Intermediate value theorem for integral over measurable space

Representation of $L^2$ and $H^2$ spaces by sequences

The norm $L ^ p$ of $f$ is bigger than the norm of $f$ minus its mean?

Every $L_q$ function as a product of $L_p$ and $L_r$ functions

Uniform estimate for Laplacian eigenfunctions

How do I show that an operator on $L^p[0,1]$ taking $a.e.$ convergent sequence to an $a.e.$ convergent sequence is always continuous?

$\left(\|u^p\|_{L^\infty}\right)^{1/p}=\|u\|_{L^\infty}$

Is $L^{N}(\Omega) $ closed in $L^{2}(\Omega)$?

Existence of a subsequence in $L^{2}$

How to complete the proof

Verify that $\lVert\cdot\rVert_1$ is a vector norm <triangular inequality>

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