List questions from sobolev-spaces

64

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Are the norms $\sum_{n\in\mathbb{Z}}(1+n^{2s})|\hat u_n|^2$ and $\sum_{n\in\mathbb{Z}}(1+n^2)^s|\hat u_n|^2$ equivalent?

Published on 25 Mar 2026 - 3:22

143

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$W^{m,p}$ not embedding in $L^{\infty}$

Published on 25 Mar 2026 - 3:18

86

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Sobolev spaces $ H^{-1}(a,b), \ W^{1, \infty}_0(a,b) $ and $W^{-1,1}(a,b)$

Published on 08 Sep 2019 - 11:49

99

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Showing compactness of an operator

Published on 26 Mar 2026 - 6:09

286

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Characterization of a subset of the Sobolev space $H^k(0,2\pi)$ in terms of Fourier series

Published on 30 Mar 2026 - 4:00

329

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weak derivative of Lipschitz function is Borel measurable

Published on 26 Mar 2026 - 11:06

356

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How to think intuitively about compact injections?

Published on 30 Mar 2026 - 0:03

85

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space of robin boundary condition

Published on 11 Sep 2019 - 19:07

165

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Norm of compactly supported function in dual of $H^1_0(D)$

Published on 26 Mar 2026 - 12:07

126

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Density of subspaces of $L^2$

Published on 27 Mar 2026 - 1:12

77

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Problem of sobolev function in 1d

Published on 25 Mar 2026 - 20:33

109

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Spectrum of a differential operator

Published on 17 Sep 2019 - 9:02

16

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Equivalence of two formulations for an elliptic problem with Dirac source

Published on 25 Mar 2026 - 20:09

264

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A bounded sequence in $W^{1,1}((0,1))$ has no converging subsequence in $L^\infty ((0,1))$

Published on 23 Feb 2026 - 21:13

716

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About the exercises in Haims Brezis' book

Published on 29 Mar 2026 - 2:17

List Question

Are the norms $\sum_{n\in\mathbb{Z}}(1+n^{2s})|\hat u_n|^2$ and $\sum_{n\in\mathbb{Z}}(1+n^2)^s|\hat u_n|^2$ equivalent?

$W^{m,p}$ not embedding in $L^{\infty}$

Sobolev spaces $ H^{-1}(a,b), \ W^{1, \infty}_0(a,b) $ and $W^{-1,1}(a,b)$

Showing compactness of an operator

Characterization of a subset of the Sobolev space $H^k(0,2\pi)$ in terms of Fourier series

weak derivative of Lipschitz function is Borel measurable

How to think intuitively about compact injections?

space of robin boundary condition

Norm of compactly supported function in dual of $H^1_0(D)$

Density of subspaces of $L^2$

Problem of sobolev function in 1d

Spectrum of a differential operator

Equivalence of two formulations for an elliptic problem with Dirac source

A bounded sequence in $W^{1,1}((0,1))$ has no converging subsequence in $L^\infty ((0,1))$

About the exercises in Haims Brezis' book

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