List questions from fractional-sobolev-spaces

Published on 22 Mar 2026 - 4:18

251

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$H^{\frac12}$ norm and preimage via the trace operator

Published on 22 Mar 2026 - 15:02

3k

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Embeddings between Hölder spaces $ C^{0,\beta} \hookrightarrow C^{0, \alpha} .$

Published on 22 Mar 2026 - 21:05

94

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For which functions $u$ is $\partial_\nu u \in H^{-1/ 2}(\partial\Omega)$?

Published on 22 Mar 2026 - 20:19

134

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Localization of Sobolev functions is continuous

Published on 22 Mar 2026 - 21:20

239

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Counter example for analogous Poincare inequality does not hold on Fractional Sobolev spaces

Published on 22 Mar 2026 - 15:10

1.1k

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$H^s$ norm of a Fourier transform

Published on 22 Mar 2026 - 19:45

311

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comparing two Sobolev spaces:$W_0^{s,p}(\Omega)$ and $\overline{ C_c^{\infty}(\Omega)}^{~~W^{s,p}(\Bbb R^d)}$

Published on 23 Mar 2026 - 1:59

388

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Bi Laplacian operator explicitly form

Published on 23 Mar 2026 - 7:06

92

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Relationships between fractional Sobolev space, Bessel spacse and Hajłasz–Sobolev space

Published on 22 Mar 2026 - 23:51

533

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Second variation corresponding to the functional

Published on 22 Mar 2026 - 10:08

75

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Domaine of an adjoint operator

Published on 24 Mar 2026 - 15:22

923

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Dual of the fractional Sobolev space $W^{s,p}(\mathbb{R}^n)$

Published on 24 Mar 2026 - 8:14

32

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Does $\|Tf\|_{H^s} \ge C \|f\|_{L^2}$ for all $f \in L^2$ imply $\mathrm{range}(T) \supset H^s$?

Published on 24 Mar 2026 - 6:51

786

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A Generalized Hölder Inequality for Sobolev Spaces

Published on 23 Mar 2026 - 16:37

List Question

Inclusion map between Sobolev space

$H^{\frac12}$ norm and preimage via the trace operator

Embeddings between Hölder spaces $ C^{0,\beta} \hookrightarrow C^{0, \alpha} .$

For which functions $u$ is $\partial_\nu u \in H^{-1/ 2}(\partial\Omega)$?

Localization of Sobolev functions is continuous

Counter example for analogous Poincare inequality does not hold on Fractional Sobolev spaces

$H^s$ norm of a Fourier transform

comparing two Sobolev spaces:$W_0^{s,p}(\Omega)$ and $\overline{ C_c^{\infty}(\Omega)}^{~~W^{s,p}(\Bbb R^d)}$

Bi Laplacian operator explicitly form

Relationships between fractional Sobolev space, Bessel spacse and Hajłasz–Sobolev space

Second variation corresponding to the functional

Domaine of an adjoint operator

Dual of the fractional Sobolev space $W^{s,p}(\mathbb{R}^n)$

Does $\|Tf\|_{H^s} \ge C \|f\|_{L^2}$ for all $f \in L^2$ imply $\mathrm{range}(T) \supset H^s$?

A Generalized Hölder Inequality for Sobolev Spaces

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