List questions from lp-spaces

Published on 12 Apr 2026 - 2:03

53

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Properties of the functions $f(x-t)$ for $t \in \mathbb{R}$

Published on 14 Apr 2026 - 7:48

288

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Special version of Tonelli’s theorem

Published on 16 Apr 2026 - 14:00

183

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Limit of integral exists imply a sequence of function converges in $L^1$

Published on 14 Apr 2026 - 6:54

131

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Show that the set $M = \left\{ {x \in {\ell ^1},\left| {{x_k}} \right| \le \left| {{y_k}} \right|} \right\}$ is a compact subset of $\ell^1$?

Published on 16 Apr 2026 - 6:45

35

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$L^1$-Minimization on $L^\infty$

Published on 15 Apr 2026 - 14:15

31

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Relation between p-norms and metric tensors in finite-dimension

Published on 14 Apr 2026 - 16:43

40

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The measurable function in the Spectral Theorem can be taken in $L^p$

Published on 16 Apr 2026 - 6:09

66

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Compute limit logarithmic sobolev inequality

Published on 14 May 2026 - 12:18

37

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What are the definitions for these spaces: $AC\left( \left[ a,b\right] ;X\right) ;$ $W^{1,p}\left( \left[ a,b\right] ;X\right) ;$?

Published on 14 May 2026 - 12:18

97

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Differentiability in time and space in Bochner Spaces

Published on 26 Mar 2026 - 19:17

81

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$f, f^2 \in L^2[0,1]$ implies $f+1 \in L^3[0,1]$

Published on 15 Apr 2026 - 21:53

522

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Integral of the usual mollifier function: finding its necessary constant

Published on 14 May 2026 - 13:20

66

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What is the supremum of $\frac{\sum_{i=1}^\infty |x_i|2^{-i}}{\|x\|_p}$?

Published on 15 Apr 2026 - 3:48

86

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Comparing different kinds of convergence

Published on 18 Apr 2026 - 14:37

List Question

Strong convergence in $L^p(\mathbb{R}^N)$

Properties of the functions $f(x-t)$ for $t \in \mathbb{R}$

Special version of Tonelli’s theorem

Limit of integral exists imply a sequence of function converges in $L^1$

Show that the set $M = \left\{ {x \in {\ell ^1},\left| {{x_k}} \right| \le \left| {{y_k}} \right|} \right\}$ is a compact subset of $\ell^1$?

$L^1$-Minimization on $L^\infty$

Relation between p-norms and metric tensors in finite-dimension

The measurable function in the Spectral Theorem can be taken in $L^p$

Compute limit logarithmic sobolev inequality

What are the definitions for these spaces: $AC\left( \left[ a,b\right] ;X\right) ;$ $W^{1,p}\left( \left[ a,b\right] ;X\right) ;$?

Differentiability in time and space in Bochner Spaces

$f, f^2 \in L^2[0,1]$ implies $f+1 \in L^3[0,1]$

Integral of the usual mollifier function: finding its necessary constant

What is the supremum of $\frac{\sum_{i=1}^\infty |x_i|2^{-i}}{\|x\|_p}$?

Comparing different kinds of convergence

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