List questions from lp-spaces

Published on 14 Apr 2026 - 10:57

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Weak convergence in $L^p$ space.

Published on 13 Apr 2026 - 21:40

395

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Integral inequality with $L^p$ norm

Published on 10 Apr 2026 - 20:02

89

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Let $X=l^2$ and $A$ be the set of all positve elements of $X$, Then show that $Cone(A-x)$ is not a subspace.

Published on 15 Apr 2026 - 17:31

853

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Preimage of the product of two functions, Tonelli-Fubini's Theorem, Measurable functions.

Published on 14 Apr 2026 - 4:26

39

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If $u_n\to u$ weakly in $L^p$ show that $\|u_n\|\leq C$ for a certain $C>0$.

Published on 15 Apr 2026 - 0:37

107

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Inequalities involving $L^p$ spaces.

Published on 15 Apr 2026 - 10:07

48

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Convergence of roots in $L^{p}$

Published on 12 Apr 2026 - 1:22

875

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Strong smoothness of Lp norm

Published on 13 Apr 2026 - 21:16

132

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Find the vector in $\ell^2(\mathbb N)$ corresponding to $f$ as in the Riesz Representation Theorem

Published on 26 Mar 2026 - 14:22

2.2k

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Convergence in $p$-norm of $f(x+h)-f(x)$ as $h$ tends to zero.

Published on 09 Apr 2026 - 10:42

73

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Convergence in $L^p$ implies convergence in $\mathcal{D}'(\Omega)$

Published on 10 Apr 2026 - 9:56

86

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Determine whether a function is in $L^p$ - specific examples

Published on 13 Apr 2026 - 9:17

140

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Subset closed with respect to the norm $\|\cdot\|_{\infty}$ but not with respect to $\|\cdot\|_1$?

Published on 14 Apr 2026 - 8:43

148

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Show properties of the linear operator $L((a_n)_n)=\left(\frac{1}{n}*a_n\right)_n$

Published on 15 Apr 2026 - 18:29

List Question

Can't see what should be a simple $L^p$ inequality

Weak convergence in $L^p$ space.

Integral inequality with $L^p$ norm

Let $X=l^2$ and $A$ be the set of all positve elements of $X$, Then show that $Cone(A-x)$ is not a subspace.

Preimage of the product of two functions, Tonelli-Fubini's Theorem, Measurable functions.

If $u_n\to u$ weakly in $L^p$ show that $\|u_n\|\leq C$ for a certain $C>0$.

Inequalities involving $L^p$ spaces.

Convergence of roots in $L^{p}$

Strong smoothness of Lp norm

Find the vector in $\ell^2(\mathbb N)$ corresponding to $f$ as in the Riesz Representation Theorem

Convergence in $p$-norm of $f(x+h)-f(x)$ as $h$ tends to zero.

Convergence in $L^p$ implies convergence in $\mathcal{D}'(\Omega)$

Determine whether a function is in $L^p$ - specific examples

Subset closed with respect to the norm $\|\cdot\|_{\infty}$ but not with respect to $\|\cdot\|_1$?

Show properties of the linear operator $L((a_n)_n)=\left(\frac{1}{n}*a_n\right)_n$

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