List questions from lp-spaces

Published on 13 Apr 2026 - 19:40

109

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$L^p$ convergence implies $\int_{\mathbb{R}^d \setminus E} |f_n|^p < \epsilon$ for all $n$.

Published on 16 Apr 2026 - 10:05

25

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Find a constant $c$ that best approximates $X$ in $L^1$.

Published on 14 Apr 2026 - 16:58

50

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Quick way to see that $\sqrt{1+x^2+y^2}^{-4}$ is $L^2$-integrable

Published on 17 Apr 2026 - 1:27

40

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A pointwise proposition for $L^2(\mathbb{R}^3)$ functions

Published on 14 Apr 2026 - 21:17

295

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Regularity of distributions with $L^2$ curl or divergence

Published on 16 Apr 2026 - 7:55

79

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Convert from cartesian to polar or spherical coordinates in order to show functions belong to $L^p$ space or Sobolev space

Published on 05 May 2026 - 17:54

64

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Analogy to Vectors in L2-Space

Published on 15 Apr 2026 - 13:20

41

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Does $L^\infty$ convergence imply convergent of an Integral

Published on 10 Apr 2026 - 17:39

97

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Find a function $f$ such that $f \star f = g$ for a given $g$.

Published on 16 Apr 2026 - 5:26

41

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Dual of $\{\nabla h, \ h \in W^{1,s}(\Omega)\}$ in $(L^s(\Omega))^3$.

Published on 10 Apr 2026 - 6:01

94

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Does this integral converge when $\frac{1}{p}+\frac{1}{q}\geq1$

Published on 15 Apr 2026 - 11:58

45

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Necessity and utility of infinite dimensional spaces

Published on 14 Apr 2026 - 3:25

44

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Bounded operator on a product of several spaces

Published on 05 May 2026 - 17:51

122

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Show that $\{P_n\}_{n \geq 1}$ does not converge in norm topology.

Published on 12 Apr 2026 - 0:09

List Question

Density of Schwartz functions in $L^2$ on a compact domain

$L^p$ convergence implies $\int_{\mathbb{R}^d \setminus E} |f_n|^p < \epsilon$ for all $n$.

Find a constant $c$ that best approximates $X$ in $L^1$.

Quick way to see that $\sqrt{1+x^2+y^2}^{-4}$ is $L^2$-integrable

A pointwise proposition for $L^2(\mathbb{R}^3)$ functions

Regularity of distributions with $L^2$ curl or divergence

Convert from cartesian to polar or spherical coordinates in order to show functions belong to $L^p$ space or Sobolev space

Analogy to Vectors in L2-Space

Does $L^\infty$ convergence imply convergent of an Integral

Find a function $f$ such that $f \star f = g$ for a given $g$.

Dual of $\{\nabla h, \ h \in W^{1,s}(\Omega)\}$ in $(L^s(\Omega))^3$.

Does this integral converge when $\frac{1}{p}+\frac{1}{q}\geq1$

Necessity and utility of infinite dimensional spaces

Bounded operator on a product of several spaces

Show that $\{P_n\}_{n \geq 1}$ does not converge in norm topology.

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