List questions from lp-spaces

Published on 05 Apr 2026 - 11:57

129

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$\|f\|_{L^{\frac{2(d+2)}{d-2}}}\leq C \|f\|_{L^{\frac{2(d+2)}{d}}}^\frac{d-2}{2} \|f\|_{L^{\infty}}^{\frac{2}{d}}?$

Published on 11 Feb 2017 - 4:16

119

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Show that $g \in L^q(\mu)$

Published on 11 Feb 2017 - 23:14

571

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What is the dual space if the measure is not $\sigma-$finite?

Published on 12 Feb 2017 - 11:28

491

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No bounded linear surjectivity from $\ell^2(\mathbb{N})$ to $\ell^1(\mathbb{N})$

Published on 29 Mar 2026 - 12:04

706

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definition of $W_0^{1,p}$-Sobolev spaces

Published on 05 Apr 2026 - 11:59

135

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About $L^2$- norm estimate of high order derivative

Published on 05 Apr 2026 - 11:59

16

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Error in argument distribute $\inf{c \in K} A +B$

Published on 10 Mar 2026 - 10:06

240

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Is the positive cone of $L^p(\Omega)$ weak-closed?

Published on 28 Mar 2026 - 20:07

18

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Spaces containing a two variable functions

Published on 21 Mar 2026 - 2:42

49

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$f \in L^{p}(\mathbb{R}^d) \ \forall p \in \mathbb{N}$ but $\mathcal{F}(f) \not \in L^{1}(\mathbb{R}^d)$?

Published on 06 Apr 2026 - 11:38

646

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If a linear operator commutes with right shift in $\ell^p$, then it is continuous

Published on 20 Feb 2017 - 7:31

448

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$\int_{0}^{2\pi } \sin (nx) p(x) dx\to 0$?

Published on 20 Feb 2017 - 10:26

266

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set of those p where the L^p norm of a function is finite. Rudin's RCA problem 3.4 (c)

Published on 20 Feb 2017 - 17:04

318

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Weak convergence in $L^p [0,1]$

Published on 21 Feb 2017 - 4:23

List Question

Sobolev Embedding Theorem, why is this not a counterexample.

$\|f\|_{L^{\frac{2(d+2)}{d-2}}}\leq C \|f\|_{L^{\frac{2(d+2)}{d}}}^\frac{d-2}{2} \|f\|_{L^{\infty}}^{\frac{2}{d}}?$

Show that $g \in L^q(\mu)$

What is the dual space if the measure is not $\sigma-$finite?

No bounded linear surjectivity from $\ell^2(\mathbb{N})$ to $\ell^1(\mathbb{N})$

definition of $W_0^{1,p}$-Sobolev spaces

About $L^2$- norm estimate of high order derivative

Error in argument distribute $\inf{c \in K} A +B$

Is the positive cone of $L^p(\Omega)$ weak-closed?

Spaces containing a two variable functions

$f \in L^{p}(\mathbb{R}^d) \ \forall p \in \mathbb{N}$ but $\mathcal{F}(f) \not \in L^{1}(\mathbb{R}^d)$?

If a linear operator commutes with right shift in $\ell^p$, then it is continuous

$\int_{0}^{2\pi } \sin (nx) p(x) dx\to 0$?

set of those p where the L^p norm of a function is finite. Rudin's RCA problem 3.4 (c)

Weak convergence in $L^p [0,1]$

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