List questions from lp-spaces

Published on 13 Apr 2026 - 22:51

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Bounded functions and inclusion on the $L^{p} $ spaces

Published on 11 Apr 2026 - 21:42

283

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Application of "Riesz Interpolation" for $L^p$-Norm of a Fourier-Transformed Function

Published on 24 Apr 2026 - 16:10

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$f,g \in L^2(0,\pi)$ show that $\int_0^\pi (f(x)-\sin(x))^2dx \leq 4/9$ and $\int_0^\pi (f(x)-\cos(x))^2dx \leq 1/9$ can not hold simultaneously

Published on 16 Apr 2026 - 22:48

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a question about $L^p$ space and Holder inequality

Published on 14 Apr 2026 - 22:17

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Help in understanding this, convergence in measure.

Published on 08 Apr 2026 - 17:44

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coincidence of $L^2$ and probability-closure of a Gaussian space

Published on 15 Apr 2026 - 15:01

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Writing in detail a proof

Published on 22 Apr 2026 - 5:10

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Sequence of sequences with sup-norm goes to 0 but 2-norm stay positive

Published on 13 Apr 2026 - 2:44

50

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A question in Functional Analysis.

Published on 08 Apr 2026 - 16:57

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Relation between dimensions of two subspaces of $\ell^2.$

Published on 12 Apr 2026 - 11:59

103

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Counter Example About $L^{\infty}$ function

Published on 26 Mar 2026 - 19:14

86

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Inequality for $p$ vector norm

Published on 15 Apr 2026 - 5:13

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Passing Weak Convergence Through a Function?

Published on 12 Apr 2026 - 6:34

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Show that if $f\in L^p$, then there is a Ball $B$ such that $\sup_{x\not\in B}|f(x)|<\varepsilon$

Published on 16 Apr 2026 - 15:34

List Question

Show that $\int_{\mathbb{R}^3}\nabla u\cdot\nabla a\, dx=-\int_{\mathbb{R}^3}u\Delta a\, dx$.

Bounded functions and inclusion on the $L^{p} $ spaces

Application of "Riesz Interpolation" for $L^p$-Norm of a Fourier-Transformed Function

$f,g \in L^2(0,\pi)$ show that $\int_0^\pi (f(x)-\sin(x))^2dx \leq 4/9$ and $\int_0^\pi (f(x)-\cos(x))^2dx \leq 1/9$ can not hold simultaneously

a question about $L^p$ space and Holder inequality

Help in understanding this, convergence in measure.

coincidence of $L^2$ and probability-closure of a Gaussian space

Writing in detail a proof

Sequence of sequences with sup-norm goes to 0 but 2-norm stay positive

A question in Functional Analysis.

Relation between dimensions of two subspaces of $\ell^2.$

Counter Example About $L^{\infty}$ function

Inequality for $p$ vector norm

Passing Weak Convergence Through a Function?

Show that if $f\in L^p$, then there is a Ball $B$ such that $\sup_{x\not\in B}|f(x)|<\varepsilon$

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