List questions from lp-spaces

Published on 13 Apr 2026 - 17:11

73

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Prove that $f\in L^1(\mathbb R^d)$

Published on 15 Apr 2026 - 16:29

535

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If $r<p<s$ then $||f||_p \le \max(||f||_r,||f||_s)$

Published on 16 Apr 2026 - 13:06

72

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Prove that $F$ is continuous function of $t$

Published on 13 Apr 2026 - 23:17

542

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$L^2$ and $L^p$ convergence of sample mean

Published on 17 Apr 2026 - 8:47

95

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If a $||f_n-f||_p \to 0$ then $f_n \to f$ uniformly a.e.?

Published on 17 Apr 2026 - 1:02

1.5k

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Reference request on weighted $L^2$ spaces

Published on 16 Apr 2026 - 12:31

66

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Bounding norm in $\ell_p$ by the norm in $\ell_{\infty}$ using multiplication by a vector

Published on 15 Apr 2026 - 4:02

971

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Sufficient Conditions for Pointwise Convergence Implying $L^p$ Convergence

Published on 13 Apr 2026 - 11:15

793

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Prob. 12, Chap. 6, in Baby Rudin: Denseness of $\mathrm{C}[a,b]$ in $L^2[a,b]$

Published on 16 Apr 2026 - 5:22

102

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How to reconcile these $L^p$ and $L^2$ (in)equalities?

Published on 14 Apr 2026 - 11:41

1.8k

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Finding bounds on the norm of the difference between two vectors.

Published on 11 Apr 2026 - 15:37

132

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$x^{(n)}$ converges to $x$ in $\ell^1$ if and only if $\lim x^{(n)}_j=x_j$ for all $j\in\mathbb N$

Published on 15 Apr 2026 - 6:16

172

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When does $L^r(\mu)=L^s(\mu)$?

Published on 12 Apr 2026 - 21:40

2.5k

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Proof that $L^{p}$ is complete in Folland's Real Analysis

Published on 10 Apr 2026 - 20:05

List Question

If the convolution with $\mid x\mid^{-1}$ is bigger, is the $L^1$ norm also bigger?

Prove that $f\in L^1(\mathbb R^d)$

If $r<p<s$ then $||f||_p \le \max(||f||_r,||f||_s)$

Prove that $F$ is continuous function of $t$

$L^2$ and $L^p$ convergence of sample mean

If a $||f_n-f||_p \to 0$ then $f_n \to f$ uniformly a.e.?

Reference request on weighted $L^2$ spaces

Bounding norm in $\ell_p$ by the norm in $\ell_{\infty}$ using multiplication by a vector

Sufficient Conditions for Pointwise Convergence Implying $L^p$ Convergence

Prob. 12, Chap. 6, in Baby Rudin: Denseness of $\mathrm{C}[a,b]$ in $L^2[a,b]$

How to reconcile these $L^p$ and $L^2$ (in)equalities?

Finding bounds on the norm of the difference between two vectors.

$x^{(n)}$ converges to $x$ in $\ell^1$ if and only if $\lim x^{(n)}_j=x_j$ for all $j\in\mathbb N$

When does $L^r(\mu)=L^s(\mu)$?

Proof that $L^{p}$ is complete in Folland's Real Analysis

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