List questions from fractional-sobolev-spaces

Published on 16 Jan 2022 - 6:15

142

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High-order Sobolev function on sphere

Published on 25 Jan 2022 - 4:24

112

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Rotation invariance of fractional p-Laplacian

Published on 31 Jan 2022 - 9:13

47

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techniques to know whether given function is in $H^s(\Omega)$ or not?

Published on 09 Feb 2022 - 10:18

77

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How to show two norms are equivalent on periodic Sobolev space

Published on 18 Feb 2022 - 11:09

82

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Intersection of the kernel with the interpolation space

Published on 25 Mar 2026 - 15:39

166

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Sobolev spaces are Hilbert spaces

Published on 23 Feb 2022 - 20:50

84

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Does $\int_{E^c}\int_{E}\frac{dy\, dx}{|x-y|^{n+\alpha}}$ converge for any $E$?

Published on 26 Feb 2022 - 3:15

59

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Sobolev embedding theorem on Manifolds

Published on 05 Mar 2022 - 8:08

70

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Does there exist a function in $B_{\infty,1}^{1/2}\setminus H^{1/2}$?

Published on 25 Mar 2026 - 12:20

312

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Why is dirac delta in $H^{-1/2-\epsilon}$ and why is multiplication not well-defined in that space?

Published on 06 Mar 2022 - 4:21

109

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Fractional Sobolev space norm given by Laplace Beltrami operator

Published on 06 Mar 2022 - 18:48

251

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How to define real fractional Sobolev space?

Published on 12 Mar 2022 - 22:18

84

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Fractional Sobolev regularity of the solution to the fractional Dirichlet problem on a ball

Published on 13 Mar 2022 - 19:44

319

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Fractional Sobolev spaces in 1D and the function $f(x) = x^{\alpha}$

Published on 16 Mar 2022 - 0:21

List Question

Show that Fourier transform is isomorphism between $H^r_m (\mathbb R)$ and $H^m_r (\mathbb R)$.

High-order Sobolev function on sphere

Rotation invariance of fractional p-Laplacian

techniques to know whether given function is in $H^s(\Omega)$ or not?

How to show two norms are equivalent on periodic Sobolev space

Intersection of the kernel with the interpolation space

Sobolev spaces are Hilbert spaces

Does $\int_{E^c}\int_{E}\frac{dy\, dx}{|x-y|^{n+\alpha}}$ converge for any $E$?

Sobolev embedding theorem on Manifolds

Does there exist a function in $B_{\infty,1}^{1/2}\setminus H^{1/2}$?

Why is dirac delta in $H^{-1/2-\epsilon}$ and why is multiplication not well-defined in that space?

Fractional Sobolev space norm given by Laplace Beltrami operator

How to define real fractional Sobolev space?

Fractional Sobolev regularity of the solution to the fractional Dirichlet problem on a ball

Fractional Sobolev spaces in 1D and the function $f(x) = x^{\alpha}$

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