List questions from lp-spaces

Published on 26 Mar 2026 - 16:10

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$f \in L^1$, but $f \not\in L^p$ for all $p > 1$

Published on 02 Apr 2026 - 9:27

8.6k

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Find a sequence converging to zero but not the element of $\ell^p$ space for any $1<p<\infty$

Published on 26 Nov 2014 - 18:32

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Interpolation inequality in sobolev space

Published on 01 Apr 2026 - 14:54

157

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$L^\infty(S^1)$ is not separable

Published on 26 Nov 2014 - 22:27

147

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Are Schwartz functions in $L^{p}$ for $0 < p < 1$?

Published on 25 Mar 2026 - 23:09

235

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Uniform lower bound on convex functions bounded in $L^2$ norm

Published on 27 Nov 2014 - 0:46

843

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An example of a function in $L^1[0,1]$ which is not in $L^p[0,1]$ for any $p>1$

Published on 27 Nov 2014 - 9:55

76

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$L^2$ inequality for derivatives of polynomials on triangles

Published on 25 Mar 2026 - 12:52

160

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Question on $L_p$ spaces involving $\lambda^n$-measure on $\mathbb{R}^n$

Published on 02 Apr 2026 - 12:37

61

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The norm of dual operator over $L^p(\Bbb R^N)\times L^p(\Bbb R^N)$

Published on 02 Dec 2014 - 1:45

456

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Does an integral operator with a symmetric integrable kernel have to be bounded on $L^2$?

Published on 25 Mar 2026 - 6:02

92

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$\mathcal L^{\infty}$ space properties

Published on 02 Dec 2014 - 18:19

231

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Example of a sequence in L1 with these conditions

Published on 03 Dec 2014 - 11:10

105

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Estimate bounds on Minkowski distance from point to a segment in Lp space

Published on 03 Dec 2014 - 12:01

List Question

Is $L^\infty$ compactly embedded in $L^1$?

$f \in L^1$, but $f \not\in L^p$ for all $p > 1$

Find a sequence converging to zero but not the element of $\ell^p$ space for any $1<p<\infty$

Interpolation inequality in sobolev space

$L^\infty(S^1)$ is not separable

Are Schwartz functions in $L^{p}$ for $0 < p < 1$?

Uniform lower bound on convex functions bounded in $L^2$ norm

An example of a function in $L^1[0,1]$ which is not in $L^p[0,1]$ for any $p>1$

$L^2$ inequality for derivatives of polynomials on triangles

Question on $L_p$ spaces involving $\lambda^n$-measure on $\mathbb{R}^n$

The norm of dual operator over $L^p(\Bbb R^N)\times L^p(\Bbb R^N)$

Does an integral operator with a symmetric integrable kernel have to be bounded on $L^2$?

$\mathcal L^{\infty}$ space properties

Example of a sequence in L1 with these conditions

Estimate bounds on Minkowski distance from point to a segment in Lp space

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