Timeline for Are there any function spaces with bounded gradients?
Current License: CC BY-SA 4.0
10 events
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Mar 29, 2021 at 11:50 | history | edited | Kashif | CC BY-SA 4.0 |
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Mar 29, 2021 at 11:49 | comment | added | Kashif | Added edits to the question to give more detail. | |
Mar 29, 2021 at 11:41 | history | edited | YCor |
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Mar 29, 2021 at 11:37 | history | edited | Kashif | CC BY-SA 4.0 |
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Mar 29, 2021 at 8:08 | comment | added | Pietro Majer | Why not $C^1_b(\Omega)$? (=bounded functions on the open set $\Omega$ with continuous bounded partial derivatives) | |
Mar 29, 2021 at 4:30 | comment | added | Kashif | Just a real valued domain. | |
Mar 29, 2021 at 4:18 | comment | added | Nate Eldredge | On what kind of domain? Sobolev embedding should say that an appropriate Sobolev space would do the trick. As a trivial example, on an interval $I \subset \mathbb{R}$, a function in $H^1(I)$ is bounded (even absolutely continuous), so a function in $H^2(I)$ has bounded derivative (and is even $C^1$). | |
Mar 29, 2021 at 3:28 | review | Close votes | |||
Apr 16, 2021 at 9:05 | |||||
Mar 29, 2021 at 2:56 | answer | added | user177826 | timeline score: 2 | |
Mar 29, 2021 at 2:42 | history | asked | Kashif | CC BY-SA 4.0 |