Timeline for Interpolation between $L_p$ and $B^s_{q,q}$
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 6, 2021 at 2:36 | comment | added | Gio67 | I think that the book by Besov, Il'in, and Nikol'ski, "Integral representations of functions and imbedding theorems." Vol. II. has what I want. They deal with anisotropic Besov and Sobolev spaces and allow the functions and their derivatives to belong to different $L^p$ spaces. It's just excruciating to read. | |
| Jan 2, 2021 at 17:00 | comment | added | Joonas Ilmavirta | @Gio67 I recommend asking a separate new question and linking to this one. | |
| Jan 2, 2021 at 16:42 | comment | added | Gio67 | Has there been any update on this question? I am interested in the real interpolation between $L^p(\mathbb{R}^N)$ and $W^{1,q}(\mathbb{R}^N)$, again without using the Triebel-Lizorkin spaces. Thanks! | |
| Aug 20, 2014 at 0:17 | comment | added | timur | These are all good answers, but I was hoping to see a more direct proof that does not go through the Triebel-Lizorkin spaces, for instance, by approximation theory. | |
| Aug 19, 2014 at 17:14 | history | answered | Joonas Ilmavirta | CC BY-SA 3.0 |