List questions from lp-spaces

Published on 23 Mar 2018 - 17:17

143

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Interpretation of the Uncertainty Principle $||f(x)||_2^2 \le 4\pi ||x f(x)||_2 ||\omega\hat f(\omega)||_2$?

Published on 24 Mar 2018 - 12:48

517

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If $\hat{f}\in L^2(\mathbb{R})$ then $\hat{f}$ is rapidly decreasing.

Published on 17 Mar 2026 - 3:37

191

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find a representation for the bounded liner functionals in l^p where p belongs t0 [1, infinity)

Published on 26 Mar 2018 - 5:50

191

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Operator norm of $T:l^2 \to l^1$

Published on 27 Mar 2018 - 11:52

53

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Trying to find $K$ such that for $1\leq p<q\leq\infty$ we have $||f||_{L^p}\leq K||f||_{L^q}$

Published on 29 Mar 2018 - 9:44

240

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Norm from a scalar product only for $p = 2$

Published on 29 Mar 2018 - 13:48

222

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Compactness in $L^p$ and $L^\infty$

Published on 23 Mar 2026 - 1:10

2.4k

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Showing that the derivative operator is not bounded on $L^2 (\mathbb{R})$

Published on 31 Mar 2018 - 13:46

57

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Showing an operator is bounded on Lp.

Published on 31 Mar 2018 - 16:34

375

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Show that for every $p\geq 1,$ $\ell_p$ is linearly isometric to a subspace of $L_p[0,1]$.

Published on 25 Mar 2026 - 1:18

471

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Dual of $L^p$ space avoiding reflexivity and Radon-Nikodym Theorem

Published on 21 Mar 2026 - 3:55

123

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How to prove that: $\forall a \in \Bbb R,$ $\|f+a\|_p\ge \frac12\|f\|_p$ when $\int_\Omega f(x)dx= 0$

Published on 02 Apr 2018 - 8:40

315

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An integral inequality (Rudin $L^p$-spaces 3.12)

Published on 02 Apr 2018 - 16:05

292

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Approximation to the identity, and $L^p$ spaces

Published on 03 Apr 2018 - 1:50

List Question

Inequality of polynomial on neighbour quadrilaterals

Interpretation of the Uncertainty Principle $||f(x)||_2^2 \le 4\pi ||x f(x)||_2 ||\omega\hat f(\omega)||_2$?

If $\hat{f}\in L^2(\mathbb{R})$ then $\hat{f}$ is rapidly decreasing.

find a representation for the bounded liner functionals in l^p where p belongs t0 [1, infinity)

Operator norm of $T:l^2 \to l^1$

Trying to find $K$ such that for $1\leq p<q\leq\infty$ we have $||f||_{L^p}\leq K||f||_{L^q}$

Norm from a scalar product only for $p = 2$

Compactness in $L^p$ and $L^\infty$

Showing that the derivative operator is not bounded on $L^2 (\mathbb{R})$

Showing an operator is bounded on Lp.

Show that for every $p\geq 1,$ $\ell_p$ is linearly isometric to a subspace of $L_p[0,1]$.

Dual of $L^p$ space avoiding reflexivity and Radon-Nikodym Theorem

How to prove that: $\forall a \in \Bbb R,$ $\|f+a\|_p\ge \frac12\|f\|_p$ when $\int_\Omega f(x)dx= 0$

An integral inequality (Rudin $L^p$-spaces 3.12)

Approximation to the identity, and $L^p$ spaces

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