List questions from lp-spaces

Published on 16 Apr 2026 - 23:24

92

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Uniform bound for integral in terms of $\left\lVert f' \right\rVert_4^4$

Published on 15 Apr 2026 - 18:07

141

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$L^2$ convergence over $[0,T] \times \Omega$ for all $T>0$ implies convergence a.e. for a subsequence over $[0,\infty) \times \Omega$

Published on 14 Apr 2026 - 18:17

119

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Function in domain of Laplacian is continuous

Published on 23 Apr 2026 - 9:22

1k

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derivative of the $L^p$-norm with respect to $p$

Published on 13 Apr 2026 - 22:00

109

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How to prove that span of $\sin$ and $\cos$ is closed in $L^2$ (trivial question)

Published on 14 Apr 2026 - 16:03

127

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Orthogonal complement of span$\langle\, \sin, \cos\,\rangle$ in $L^2$

Published on 16 Apr 2026 - 12:53

57

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Show that $L^p_w \subset L^1$

Published on 14 Apr 2026 - 23:05

39

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why $\int_{-\pi}^{\pi}f_n(t)^p$ is not zero on $L^p[-\pi,\pi]$?

Published on 15 Apr 2026 - 22:56

83

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Is there a nice relationship between $\dot{B}^{-1}_{p,1}$ and $\dot{B}^{0}_{p,1}$?

Published on 16 Apr 2026 - 5:45

137

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How can we compute this conditional expectation?

Published on 15 Apr 2026 - 12:54

514

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Is the union of $l^p$ spaces ($1\le p<\infty$) equal to $c_0$?

Published on 13 Apr 2026 - 3:25

373

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Why $\ln (1/x) \in L^p ( (0, 1] )$ for $1\leq p < \infty$?

Published on 15 Apr 2026 - 20:45

193

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Inner products in L2 spaces and pointwise convergence

Published on 12 Apr 2026 - 14:16

468

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Generating $p$-norm circles

Published on 13 Apr 2026 - 3:33

List Question

Proving the Schur Property without Gliding Hump or Vitali-Saks

Uniform bound for integral in terms of $\left\lVert f' \right\rVert_4^4$

$L^2$ convergence over $[0,T] \times \Omega$ for all $T>0$ implies convergence a.e. for a subsequence over $[0,\infty) \times \Omega$

Function in domain of Laplacian is continuous

derivative of the $L^p$-norm with respect to $p$

How to prove that span of $\sin$ and $\cos$ is closed in $L^2$ (trivial question)

Orthogonal complement of span$\langle\, \sin, \cos\,\rangle$ in $L^2$

Show that $L^p_w \subset L^1$

why $\int_{-\pi}^{\pi}f_n(t)^p$ is not zero on $L^p[-\pi,\pi]$?

Is there a nice relationship between $\dot{B}^{-1}_{p,1}$ and $\dot{B}^{0}_{p,1}$?

How can we compute this conditional expectation?

Is the union of $l^p$ spaces ($1\le p<\infty$) equal to $c_0$?

Why $\ln (1/x) \in L^p ( (0, 1] )$ for $1\leq p < \infty$?

Inner products in L2 spaces and pointwise convergence

Generating $p$-norm circles

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